{"id":1986,"date":"2023-12-11T08:54:10","date_gmt":"2023-12-11T08:54:10","guid":{"rendered":"https:\/\/democontent.codex-themes.com\/sites-wpb-v5\/shop-online-courses\/?post_type=product&#038;p=1986"},"modified":"2026-08-12T13:29:54","modified_gmt":"2026-08-12T13:29:54","slug":"data-analytics-for-investments","status":"publish","type":"product","link":"https:\/\/jppstrike.youreducationplus.com\/subject\/data-analytics-for-investments\/","title":{"rendered":"Data Analytics for Investments (Demo)"},"content":{"rendered":"<div class=\"wpb-content-wrapper\"><p>[vc_row css=&#8221;.vc_custom_1707913018606{margin-bottom: 0px !important;}&#8221;][vc_column css=&#8221;.vc_custom_1707913025066{padding-top: 0px !important;}&#8221;][vc_tta_accordion active_section=&#8221;1&#8243; title=&#8221;A. Space, time and motion&#8221;][vc_tta_section title=&#8221;A.1 KINEMATICS&#8221; tab_id=&#8221;1786533186455-6bbc86ba-2feb&#8221;][vc_column_text css=&#8221;&#8221;]<\/p>\n<div class=\"site-shell\">\n<article class=\"article\">\n<section id=\"top\" class=\"hero\">\n<div class=\"eyebrow\">IB PHYSICS \u2022 A. SPACE, TIME AND MOTION<\/div>\n<h1 class=\"page-title\">A.1 KINEMATICS<\/h1>\n<p class=\"subtitle\">Space, time and motion | Standard Level and Higher Level<\/p>\n<\/section>\n<nav class=\"toc\" aria-label=\"Table of contents\">\n<div class=\"toc-title\">Contents<\/div>\n<ol>\n<li class=\"toc-h2\"><a href=\"#guiding-questions\">Guiding questions<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#describing-motion-position-and-reference-direction\">1.<br \/>\nDescribing motion: position and reference direction<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#scalar-and-vector-quantities\">Scalar and vector quantities<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#distance-displacement-speed-and-velocity\">2. Distance,<br \/>\ndisplacement, speed and velocity<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#average-quantities\">Average quantities<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#instantaneous-speed-and-velocity\">Instantaneous speed and<br \/>\nvelocity<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#practical-measurement-of-motion\">Practical measurement of<br \/>\nmotion<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#worked-comparison-average-speed-versus-average-velocity\">Worked<br \/>\ncomparison: average speed versus average velocity<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#acceleration-and-the-meaning-of-changing-velocity\">3.<br \/>\nAcceleration and the meaning of changing velocity<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#average-and-instantaneous-acceleration\">Average and<br \/>\ninstantaneous acceleration<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#uniform-and-non-uniform-acceleration\">Uniform and non-uniform<br \/>\nacceleration<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#position-time-graphs-how-shape-describes-motion\">Position-time<br \/>\ngraphs: how shape describes motion<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#reading-velocity-time-and-acceleration-time-graphs\">4. Reading<br \/>\nvelocity-time and acceleration-time graphs<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#area-under-a-velocity-time-graph\">Area under a velocity-time<br \/>\ngraph<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#how-to-estimate-values-from-curved-graphs\">How to estimate<br \/>\nvalues from curved graphs<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#graph-transformations-for-constant-acceleration\">Graph<br \/>\ntransformations for constant acceleration<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#interpreting-multi-stage-motion\">Interpreting multi-stage<br \/>\nmotion<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#uniformly-accelerated-motion-and-the-four-equations\">5.<br \/>\nUniformly accelerated motion and the four equations<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#where-the-equations-come-from\">Where the equations come<br \/>\nfrom<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#reliable-equation-selection-method\">Reliable equation-selection<br \/>\nmethod<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#common-algebraic-and-physical-checks\">Common algebraic and<br \/>\nphysical checks<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#free-fall-and-one-dimensional-vertical-motion\">6. Free fall and<br \/>\none-dimensional vertical motion<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#symmetry-when-resistance-is-negligible\">Symmetry when resistance<br \/>\nis negligible<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#graphical-view-of-a-vertical-throw\">Graphical view of a vertical<br \/>\nthrow<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#typical-vertical-motion-procedure\">Typical vertical-motion<br \/>\nprocedure<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#projectile-motion-two-independent-components\">7. Projectile<br \/>\nmotion: two independent components<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#what-is-common-to-both-components\">What is common to both<br \/>\ncomponents?<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#why-the-trajectory-is-parabolic\">Why the trajectory is<br \/>\nparabolic<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#solving-projectile-problems\">8. Solving projectile problems<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#general-method\">General method<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#useful-same-height-results\">Useful same-height results<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#common-projectile-errors\">Common projectile errors<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#worked-source-example-launch-at-20-m-s-1-and-30\">Worked source<br \/>\nexample: launch at 20 m s^-1 and 30\u00b0<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#fluid-resistance-and-terminal-speed\">9. Fluid resistance and<br \/>\nterminal speed<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#development-of-terminal-speed-in-a-vertical-fall\">Development of<br \/>\nterminal speed in a vertical fall<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#effect-of-resistance-on-a-projectile\">Effect of resistance on a<br \/>\nprojectile<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#modelling-limits-and-what-the-ib-expects\">Modelling limits and<br \/>\nwhat the IB expects<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#a.1-synthesis-what-you-must-be-able-to-do\">10. A.1 synthesis:<br \/>\nwhat you must be able to do<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#essential-equations-at-a-glance\">Essential equations at a<br \/>\nglance<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#high-value-checks-before-finalising-an-answer\">High-value checks<br \/>\nbefore finalising an answer<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#linking-ideas-highlighted-by-the-ib-guide\">Linking ideas<br \/>\nhighlighted by the IB guide<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#common-misconceptions-and-corrections\">Common misconceptions and<br \/>\ncorrections<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#a-disciplined-a.1-problem-solving-workflow\">A disciplined A.1<br \/>\nproblem-solving workflow<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#using-the-ib-data-booklet-and-graph-skills\">Using the IB data<br \/>\nbooklet and graph skills<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#precise-terminology-to-retain\">Precise terminology to<br \/>\nretain<\/a><\/li>\n<\/ol>\n<\/nav>\n<div class=\"content\">\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>IB syllabus status.<\/strong> A.1 is prescribed for both SL<br \/>\nand HL, with a recommended 9 teaching hours and no additional HL<br \/>\ncontent. The guide requires description and analysis of motion using<br \/>\nposition, velocity and acceleration; average and instantaneous<br \/>\nquantities; motion graphs; constant-acceleration equations; projectiles;<br \/>\nand the qualitative effects of fluid resistance and terminal speed.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<h2 id=\"guiding-questions\">Guiding questions<\/h2>\n<ul>\n<li>How can the motion of a body be described quantitatively and<br \/>\nqualitatively?<\/li>\n<li>How can the position of a body in space and time be<br \/>\npredicted?<\/li>\n<li>How can the analysis of motion in one and two dimensions be used<br \/>\nto solve real-life problems?<\/li>\n<\/ul>\n<h1 id=\"describing-motion-position-and-reference-direction\">1.<br \/>\nDescribing motion: position and reference direction<\/h1>\n<p>Kinematics is the description of motion. The starting point is a<br \/>\ncoordinate system: a chosen origin and a chosen positive direction. In<br \/>\none-dimensional motion, a position can therefore be represented by a<br \/>\npositive or negative coordinate. Cambridge emphasizes that the choice of<br \/>\npositive direction is arbitrary, but once chosen it must be used<br \/>\nconsistently. Horizontal position is commonly written x, vertical<br \/>\nposition y, and a general one-dimensional position s.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Idea<\/strong><\/th>\n<th><strong>Meaning \/ implication<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Reference point (origin)<\/td>\n<td>The point from which position is measured. Changing the origin<br \/>\nchanges position coordinates, but it does not change the actual<br \/>\nmotion.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Positive direction<\/td>\n<td>Chosen by the solver. Motion opposite to this direction is<br \/>\nrepresented by negative displacement or velocity.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Position<\/td>\n<td>Location relative to the origin. In one dimension its sign indicates<br \/>\nwhich side of the origin the body lies on.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Change in position<\/td>\n<td>The displacement: final position minus initial position. It is a<br \/>\nvector quantity.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p class=\"figure\"><img style=\"max-width: 100%!important; width: 100%!important; height: auto!important; display: block!important; margin: 0 auto!important; box-sizing: border-box!important;\" 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alt=\"Distance follows the actual path; displacement connects initial and final positions directly and includes direction.\" \/><\/p>\n<p class=\"figure-caption\"><em>Distance follows the actual path; displacement connects initial<br \/>\nand final positions directly and includes direction.<\/em><\/p>\n<h2 id=\"scalar-and-vector-quantities\">Scalar and vector quantities<\/h2>\n<p>A scalar is completely specified by magnitude. A vector requires<br \/>\nmagnitude and direction. This distinction is essential throughout A.1<br \/>\nbecause distance and speed are scalars, whereas displacement, velocity<br \/>\nand acceleration are vectors. A negative vector component identifies<br \/>\ndirection relative to the chosen axis; it does not mean that the<br \/>\nmagnitude itself is negative.<\/p>\n<p class=\"source-note\">Source basis: IB Physics Guide A.1, pp. 33-34; Cambridge Ch. 1.1;<br \/>\nHodder A.1; Oxford A.1; Pearson SL\/HL A.1.<\/p>\n<h1 id=\"distance-displacement-speed-and-velocity\">2. Distance,<br \/>\ndisplacement, speed and velocity<\/h1>\n<p>The most common early errors in kinematics come from treating<br \/>\ndistance as if it were displacement, or speed as if it were velocity.<br \/>\nThe five project sources consistently separate these ideas.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Quantity<\/strong><\/th>\n<th><strong>Definition \/ interpretation<\/strong><\/th>\n<th><strong>Type<\/strong><\/th>\n<th><strong>SI unit<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Distance<\/td>\n<td>Total length of the route travelled, irrespective of direction.<\/td>\n<td>Scalar<\/td>\n<td>m<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Displacement<\/td>\n<td>Change in position from start to finish; in one dimension \u0394s = s_f &#8211;<br \/>\ns_i.<\/td>\n<td>Vector<\/td>\n<td>m<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Speed<\/td>\n<td>Rate at which distance is travelled; magnitude of velocity.<\/td>\n<td>Scalar<\/td>\n<td>m s^-1<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Velocity<\/td>\n<td>Rate of change of position\/displacement; direction must be<br \/>\nspecified.<\/td>\n<td>Vector<\/td>\n<td>m s^-1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Key comparison.<\/strong> A runner completing a lap may<br \/>\ntravel a large distance but have zero displacement if the finish is the<br \/>\nstarting point. The average speed is then non-zero, while the average<br \/>\nvelocity over the whole lap is zero.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<h2 id=\"average-quantities\">Average quantities<\/h2>\n<p>Average values describe an entire time interval. They do not show<br \/>\nwhat happens at each instant within the interval.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Quantity<\/strong><\/th>\n<th><strong>Relationship<\/strong><\/th>\n<th><strong>What the numerator represents<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Average speed<\/td>\n<td>total distance \/ total time<\/td>\n<td>Total path length, always non-negative.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Average velocity<\/td>\n<td>total displacement \/ total time<\/td>\n<td>Net change in position, including sign\/direction.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Average acceleration<\/td>\n<td>change in velocity \/ time interval<\/td>\n<td>Vector change in velocity, not merely change in speed.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"instantaneous-speed-and-velocity\">Instantaneous speed and<br \/>\nvelocity<\/h2>\n<p>The instantaneous value is the value at a particular moment. Oxford<br \/>\nillustrates this graphically: on a curved distance- or displacement-time<br \/>\ngraph, the instantaneous speed or velocity is found from the gradient of<br \/>\na tangent at the required time. A large tangent triangle reduces the<br \/>\neffect of reading uncertainty from the graph. For straight-line<br \/>\nconstant-velocity motion, instantaneous velocity equals average velocity<br \/>\nover any interval.<\/p>\n<p class=\"figure\"><img style=\"max-width: 100%!important; width: 100%!important; height: auto!important; display: block!important; margin: 0 auto!important; box-sizing: border-box!important;\" 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zuVI5OUIi8Ym\/aozJYtG9evX8fNzc2Wp0kyQUFBtG\/fnnPnzpEtWzYWLFgQZ3b7iy++iLUtS5YsDBgwgFq1alG7dm2uX7\/OhAkT+OabbxIVg5eXl8Uyvr6+9OvXD4icSzOtPL\/WiN712c3NLd39uiAvHrVpSU\/UniW9UZuW9EZtWtKbtN6mQ8IimLLlLNO3nyPCirWCXTPY80mLkrxWLR8mk8n2AUqyS+ttOjnYNFFZqVIlrl+\/ztmzZ215miTx5MkTOnTowPbt2\/H09GT9+vUUKlQo0cepWrUqXbt25a+\/\/mLlypWJTlTWrl07UeUdHBySZA6A1CTqjWpvb5\/urk1eTGrTkp6oPUt6ozYt6Y3atKQ3abVNn7wRwLCFhzh2\/aFV5asXysz4zhUpmDX9dESSuKXVNp1cbDr0++2338YwDBYsWGDL0zy3kJAQOnXqxLp163B3d2ft2rVUqVLlmY9Xs2ZNAM6dO5dUIYqIiIiIiIhIKhceYTBj21laT95pVZIyg70dH7coxYK+tZWkFMHGicr27dvTsWNHjhw5wocffmjLUz2z0NBQOnfuzKpVq3B1dWX16tWJ7tUoIiIiIiIiIi+2S3cD6TrTm2\/XniAkPMJi+dK5M7JiUF36NSyKvZ2GeouAjYd+A8ydOxcnJycmTJjA\/v37GTp0KLVr1yZbtmy2PrVFoaGhdOnShRUrVuDi4sLKlStp0KDBcx93z549ABQuXPi5jyUiIiIiIiIiqZdhGMzfe5mvVh8jMCTcYnk7E7zbqChDmpYgg4NN+4+JpDk2TVRGnxTUMAy2bt3K1q1bra5vMpkICwuzQWQQFhZGt27dWLZsGU5OTixbtowmTZpYrGcYRoKT2h48eNA81D0trXYuIiIiIiIiIolz62EwHy0+wpaTt60qXzibG+M7V6Rqwcw2jkwkbbJpotIwjAT\/P6WEh4fTo0cPFi9ejJOTE0uXLqVZs2ZW1R03bhynTp2ia9eu1KpVC09PTwDu37\/PwoUL+fjjjwkNDSVXrlwMHz7clpchIiIiIiIiIilk1ZFrfLbMD\/\/AUKvK96xdkJEtSuGaQQuoiMTHpu+OBg0aJNj7MKXs2rWLhQsXApHJ0969eydYft++feTPnx+IXB189uzZzJ49G4CMGTNib2+Pv7+\/ORFbpEgRli5dStasWW13ESIiIiIiIiKS7PwDQxi1\/CgrDl+zqnyujM5836kCDUpkt3FkImmfTROViRnmnZwiIv43qW1ISAg3b95MsHx4+P\/mmOjcuTPh4eF4eXlx9uxZ7t69S1BQEDly5KB8+fK0b9+eXr164eam1bpERERERERE0pNNx28ycokvtwOeWFW+XaU8jGlTDk9XRxtHJpI+vJD9jRs1avTMw9DLli3L2LFjkzgiEREREREREUmtHgSF8uXKYyw+cMWq8pldHfm6fXleLZ\/bxpGJpC8vZKJSRERERERERMQaW0\/eYuRiX248DLaqfNNSOfi2Y3lyeDjbODKR9EeJShERERERERGRpwQEh\/L16uMs2HfZqvJuGewZ1boMXarlT5XrdYikBcmWqIyIiGDx4sWsX7+eY8eOce\/ePUJDQzl79myMcn5+fjx8+BBPT0\/Kli2bXOGJiIiIiIiIiACw8\/QdPlp8hKv+QVaVr1EoCxO6VCR\/FlcbRyaSviVLonLXrl307NmTCxcumLcZhhHnLwyLFy\/myy+\/JGPGjFy\/fh1nZ3WVFhERERERERHbe\/wkjG\/XHmfu7ktWlXdysGPEKyXpXbcw9nbqRSnyvOxsfYINGzbQpEkTLly4gGEY2Nvb4+npGW\/5vn37AvDw4UPWrFlj6\/BERERERERERNh97i7Nf95udZKyUv5MrB5cn3fqF1GSUiSJ2DRR6e\/vT7du3QgNDcXd3Z2ZM2fi7+\/PrFmz4q2TO3duatWqBcCmTZtsGZ6IiIiIiIiIvOACQ8L4YsVRus7czeV7lod6Z7C3Y2SLUix+tw7FcrgnQ4QiLw6bDv2eOnUq9+\/fx8HBgXXr1lG7dm2r6tWpUwdvb28OHDhgy\/BERERERERE5AXmc+Eew\/85zIW7gVaVL5\/XkwldKlIip4eNIxN5Mdk0UblmzRpMJhMdO3a0OkkJULJkSQDOnTtnq9BERERERERE5AUVHBrOhA0n+W3neQzDcnlHexNDmhanX8OiONrbfBY9kReWTROVp06dAqBp06aJqpcpUyYAHjx4kNQhiYiIiIiIiMgL7OCl+3zwz2HO3X5sVfkyuTMyoUtFSufOaOPIRMSmicqHDx8CkCVLlkTVCw0NBcDBIVkWJRcRERERERGRdC44NJyJG08zc\/tZIqzoRelgZ2JA42IMaFyMDA7qRSmSHGyaCcySJQu3bt3i7t27iap34cIFALJly2aDqERERERERETkRXLkij8fLDrM6VuPrCpfMqcHE7pUpFxeTxtHJiLR2fQngWLFigHg7e2dqHrr1q3DZDJRsWJFW4QlIiIiIiIiIi+AkLAIJmw4SftpXlYlKe1MMKBxUVYMqqskpUgKsGmislmzZhiGwb\/\/\/suNGzesqrNp0yZ27NgBwCuvvGLL8ERStdmzZ2MymTCZTOZexiKSuhUqVAiTycSbb76Z0qHEsnXrVvM9ZevWrSkdjqQgS39fGjVqhMlkolGjRskeW3pw69YthgwZQokSJXB2djY\/18uWLUvp0EREXjh+Vx\/QZspOJm8+Q7gVY72L5XBnyXt1GfFKKZwc7JMhQhF5mk2Hfvft25fvvvuOx48f06lTJ1avXo2nZ\/y\/SHh7e9OtWzcAMmfOTK9evWwZnoiIiIhIkrl\/\/z41a9bUD4wiIinsSVg4kzed4ZdtZ61KUJpM0Ld+EYa9XAJnRyUoRVKSTXtU5syZk2+++QbDMPD29qZkyZJ89tln7N6921xmzZo1TJ8+nbZt21K\/fn3u3LmDyWRi4sSJuLm52TI8EXkOqbnnWHzUS0gkfm+++SYmk4lChQqldCgiVkmNbXbq1KnmJOXIkSPZuXMnvr6++Pr60rRpU6uPE9UL84svvrBNoGJRWvycIyKRDl32p9WknUzZYl0vysLZ3Pi3f20+frW0kpQiqYDNl9UePHgwt27d4ttvvzX\/FyI\/gAG0bt3aXNYwIm8iY8aMoUePHrYOTSRVe\/PNN\/XhWESSTKNGjcx\/Z0USoqkBnt2mTZsAqFatmvkzr4iIJI\/g0HB++u8Uv+44Z9WK3iYT9K5TmBGvlMQlgxKUIqmFzROVAF999RX16tXj008\/5eDBg\/GWK1euHOPGjePVV19NjrBERERERJLMtWvXAChRokQKRyIi8mLxuXCPD\/89wrk7j60qXyCLKz90qkDNIlltHJmIJFayJCoBmjdvTvPmzfHz82P79u1cuHABf39\/3N3dyZcvHw0bNqRq1arJFY6IiIiISJJ68uQJAI6OjikciYjIiyEwJIwf1p9kttcFrB040rN2QUa2KIVrhmRLh4hIIth0jsq4lCtXjvfee4\/vv\/+emTNn8uOPP\/L+++8rSSnylMSuynrp0iUGDx5M0aJFcXZ2Jnv27LRp04Zdu3YleJ6goCB++ukn6tevT9asWXF0dCRbtmyULl2atm3bMm3aNG7evGkuHzUn2MWLFwGYM2eOOc6ox9NzQN6\/f58\/\/viD7t27U7p0adzd3XFyciJPnjy0atWKv\/\/+m\/Dw8HhjjGu14vnz59OoUSOyZs2Kq6srZcuWZcyYMTx+HPtX1C+++AKTycS2bdsA2LZtW6yYn57j7PHjxyxYsIC33nqLChUqkDFjRhwdHcmRIwcvvfQS06ZNM38hjcuFCxcwmUw4Ojry999\/A7Bu3TpatGhBzpw5cXZ2plixYrz\/\/vvcuXMn3uNEt2zZMjp37kyBAgVwdnYmU6ZMVKtWjTFjxnD\/\/n2L9R8+fMhXX31FjRo1yJw5M87OzhQoUIDu3btbHOpp7Xxplub0un\/\/PmPGjKFGjRpkypTJ\/JyWK1eO1157jVmzZvHw4UOL1xJd\/fr1MZlMFC9e3GLZGzdu4ODggMlk4pNPPomzzIMHD\/j222+pW7cu2bNnJ0OGDOTOnZvWrVvz77\/\/Jsnw6aVLl9KuXTvy5MmDk5MT2bJlo0GDBkyaNCnBdhXd1q1b6d27N8WLFze\/pwoVKkSHDh2YNWsWgYGBscrHtep31L1mzpw5AFy8eDHW+yNqupZffvmFTJkykSlTJnx8fCzGWKtWLUwmE2XKlLHymUldDMPgt99+o27dumTKlImMGTNSuXJlfvjhB4KDg83vc5PJxOzZs2PVf3oOxatXrzJixAjzfdBkMnHo0CFz+evXrzNlyhQ6duxI0aJFcXV1Nb9PO3XqxKpVq6yKOzAwkC+\/\/JJy5crh6upK9uzZadSoEfPnz7eqvrXz+d64cYNPP\/2UatWqkSVLFpycnMifPz9dunRh48aN8daL63lbu3at1ffHxLTZZ7F161a6d+9uvtdmzpyZGjVq8PXXX8d5f4r+3orvb6O1U7lEPfdRxowZE+u6nj7W87abpz9vhIeHM23aNGrWrImnpyfu7u5UrVqViRMnEhoaavEaNm\/eTNu2bcmZMycuLi4UL16cYcOGcfXqVcD6uR8PHDhA\/\/79KVmyJO7u7ri5uVGyZEneffddTp06ZbPreZbPOSKSMrzP3qX5xB3M2mVdkrJAFlfm96nFl23LKUkpkpoZkuZ4eXkZgAEYXl5eKR1OkgoNDTX8\/f0Nf39\/IzQ0NKXDSVGzZs0yv87nz5+Ptb9hw4YGYDRs2NDYvn27kSVLFnP56A87Oztj7ty5cZ7j6tWrRqlSpeKsF\/0xefJkc51evXpZLN+wYcMY5ylYsKDFOk2aNDEePHgQZ5xbtmwxl9u4caPRtWvXeI9TtWpVIyAgIEb90aNHWzx\/wYIF43x+E3pUqFDBuHr1apwxnz9\/3lxu6tSpxqBBg+I9TuHCheM9jmEYxr1794wmTZokGEuOHDkMb2\/veI+xb98+I2fOnAkeo1+\/fkZYWFic9aPKjB49Ot5zGMb\/XutevXrF2nf06FEjV65cFp\/XlStXJniOp02bNs1cd8+ePQmWnThxormsr69vrP0bN240smbNmmB8r776aqw2Zs31G4ZhBAYGGq1bt07w+CVKlDDOnTsX7zU8evTI6NSpk8XncdasWTHqRX8fbdmyxbw9+r0moYdhGMbt27cNZ2dnAzDefffdBJ\/r48ePm+t+\/\/33CZZNjYKDg43mzZsneK85cOBAvM+3YfzvflmwYEHDy8srzrZ18OBBwzAMIywszLCzs7P4OnTt2jXBv49Xr141SpQoEW\/9nj17Gn\/88Yf5\/y39fYnP3LlzDTc3twRjffvtt+OMNfr9cdasWcbw4cMTdX9MTJu1JPrnjuDgYKNv374JHjNXrlyGj49PjGNEf2\/F94jvnvA0a\/72RD9WUrSb6M+nn5+f0ahRo3iP06JFi3j\/ThhGwn9vc+TIYfj4+Fi8T4aHhxvDhg0zTCZTvMdycHAwZsyYYZPreZbPOamJPktLehNXmw4IDjU+W+prFPxolVWPQiNXGV+s8DMeP9F7QlKe7tOWKVGZBilR+WKwNlFZokQJI2vWrEauXLmM8ePHG15eXsbu3buNsWPHGi4uLgZguLu7Gzdu3Ih1jA4dOpjP8cYbbxhLly419uzZY+zdu9dYsmSJ8dFHHxnFixePkai8cuWK4evra+TJk8cAjLZt2xq+vr4xHk8nWfLly2fUrl3b+Prrr43Vq1cbPj4+xvbt243Zs2cb9erVM8fQo0ePOJ+L6F8Ca9eubQBGp06djOXLlxv79+83li9fbtSvX99cZsSIETHq37x50\/D19TWqVatmAEa1atVixXzy5MkYderWrWtUqFDB+Pzzz41ly5YZe\/fuNby8vIx58+YZrVq1Mp+rfv36RkRERKyYo38Rr1GjhgGRydhFixYZ+\/fvN9atW2e0bdvWXKZz585xXntwcLBRpUoVAzDs7e2NXr16GfPnzzd2795t7Nixw\/jqq6\/MyY\/MmTMbFy5ciHWMS5cuGZkyZTIgMnHdr18\/Y+PGjca+ffuM3377zShWrJg5jg8++CDOOKL2P0+iMuo6HB0djQEDBhirVq0yfHx8jN27dxsLFiwwBg8ebOTLly\/Ricrbt28bDg4OBmAMGTIkwbJRr0X58uVj7du5c6fh6OhoTkZ88803xqpVq4z9+\/cbK1euNLp3725+Hjp06JDo6zeMmO+56tWrG\/PmzTN8fHyM1atXx0g+FipUyHj48GGs+uHh4TGS1qVLlzYmT55s7Nq1y\/xe+OCDD4y8efNanai8f\/++4evra26PefLkifX+iErqhoaGGl26dDEAI0uWLMaTJ0\/ifa4\/+ugjc7u9fv16vOVSq969e5ufr8qVKxtz5841fHx8jPXr1xtvvvlmjPc2JJyozJo1q5EnTx7Dw8PDGDVqlLF9+3Zjz549xowZM4yLFy8ahhH53NrZ2RkvvfSSMWHCBGPDhg3GgQMHjM2bNxszZswwypcvbz7XZ599FmfMoaGhRqVKlczlWrdubaxYscLw8fExFixYYNSsWdN8D7Tm70t8yZiFCxeak0hFixY1fvrpJ2PdunXG\/v37jX\/\/\/ddo0aKF+fjDhg2LVT\/6\/THqnt60aVOr74+JabOWRP\/cMXToUPM5S5QoYfz+++\/Gvn37jP\/++8\/o06eP+ZozZcpkXL582XyMR48emc8Z39\/GK1euWBXPuXPnDF9fX3Mc7777bqzrin6spGg30T9v1K5d27CzszPeeecd82u6cOFCo1y5cuYyU6dOjfM4f\/75Z4yk5E8\/\/WT+WzV69GjD1dXVKFy4sJE9e\/YE75PvvfdejITgrFmzjG3bthl79+41Zs6caZQpU8a8f\/ny5Ul+Pc\/yOSc10WdpSW+ebtPbT90y6ny7yeokZeMfthj7zt9N6csQMdN92rJkT1Q+efLEuHnzpnHx4kWrHhKbEpUvBmsTlRDZ4+TatWuxysyfP99cZsKECTH2BQUFmZMy8SWnDMMwIiIijHv37sXabikhE93p06cT3D9mzBgDMEwmU6yEoWHE7q0ybty4WGWePHliVKhQwZxACQkJiVXGml5CUU6dOpXg\/jlz5pjj+e+\/\/2Ltj\/5FHOLuWRQREWH+Qm9vb2\/cvHkz1nE++eQT8zVF9bx62oULF4zcuXMbgNG9e\/dY+zt27GiO4++\/\/461\/8GDB+Yvs3Z2dsaRI0dilXneROXZs2fNx4ie+H5aaGhovD1rE9KyZUsDMHLnzm2Eh4fHWebMmTPmGL799tsY+0JCQoxChQoZgNGyZUsjMDAwzmPMnDnTfIwNGzbE2p\/Q+2LlypXmuq+++mqc97hRo0aZywwfPjzW\/p9++sm8\/7XXXouznUddz9PtKb5EZZTovf\/iExoaaqxYscJ8nH\/++SfOcmFhYeYv+a1atYr3eAmxpie0pcez9nrat29fjGPElZCN3jvXUqISMDw8PBJMnkVERBhnzpxJcP\/bb79tAIabm5vh7+8fq8ykSZPM54sraR8aGmq8+uqrMeJObKLy9u3bhqenpwEYffv2jfdvddS9y87Ozjhx4kSMfU\/fH+PqnWvN\/dGaNmtJ1OeOnTt3mhORVapUibPXdPSeqJ06dYrzeIn525gQa++5SdFunu6humDBglhl7t+\/b+4RH9cPPUFBQUa2bNkMwMiZM2ecP5rt2bPHcHJyMp8nrudow4YN5v2zZ8+O85qCgoLMP9gULFgwVhtMiusxjKR7LZObPktLehPVpi\/fuGOMWHTQ6gRl4ZGrjG9WHzOCQuLvBS6SEnSftixZ5qg8deoUgwYNonjx4ri6upI7d24KFy5s8VGkSJHkCE8kzZs8eTK5c+eOtf21114jb968AOzYsSPGvnv37pnnZmrYsGG8xzaZTGTOnPm54itWrFiC+z\/99FOyZ8+OYRisWLEiwbLVq1fno48+irU9Q4YMDBgwAIi8tmPHjj17wGBxvsOePXtSpUoVIHLuyITkyZOHb7\/9NtZ2k8nE0KFDAQgPD8fb2zvG\/kePHjF16lQAvv76aypVqhTn8QsWLMjnn38OwD\/\/\/BNjns5r166Z42vTpg3du3ePVT9jxoz8+uuvAERERPDLL78keD3P4saNG+Z\/J9TeHBwcyJgxY6KPH3Vd169fZ8uWLXGWiZqfz2QyxXoeFixYwIULF3B1dWXOnDm4uLjEeYw+ffpQo0YNgDjnJExI1Gvp7OzMb7\/9hoND7LmRRo0aRdmyZQH47bffYsxXGR4ezvjx44HI13zWrFnxLtgRNfenLdSvX5\/ChQsDMGvWrDjL\/Pfff+bVj3v37m2TOGxp5syZQGRbmTlzJhkyZIhVZsiQIVSrVs3qY44cOZJy5crFu99kMlG0aNEE93\/\/\/ffY29vz+PFj\/vvvv1hlot67+fLl47vvvou138HBgV9\/\/TXO67HWL7\/8woMHD8ifPz+TJ0+Osx1D5NyKefPmJSIigj\/\/\/DPe4+XNm5eJEyfG2m7p\/pjU\/vjjD\/P8s7\/99hvu7u6xyvTu3ZvmzZsDkfPMRrXxlJQU7Sa6Tp068dprr8XanilTJvN72dfXlwcPHsTYv2TJEvN8omPHjqVgwYKxjlGjRg0GDhyY4PnHjRsHRH5+6dWrV5xlnJ2dmTJlChA5P2l89\/znuR4RSV12nLlHh98OsGj\/VavKF8\/hzpL36vLxq6VxdrS3cXQiktRsnqicOXMmFSpUYNq0aZw7d46IiAiMyJ6cVj1EJGGZMmWiRYsWce4zmUzm5Nb58+dj7MuaNav5y+rcuXMTXMwmKRmGwfXr1zl58iR+fn74+flx\/Phxc0L18OHDCdbv1q1bvPuiEocQ+3qf161btzh16pQ5Zj8\/P3Ny2FLMrVu3jjcxkFDM27ZtM3956tSpU4LnaNCgAQChoaHs37\/fvH3Lli3m1\/att96Kt37NmjUpX748AJs2bUrwXM8ieiI9agGMpNS2bVvc3NwAmDdvXpxlohKVdevWpUCBAjH2RSXIGzduTNasWRM8V9RznZjESVhYmHkxp+bNm8f5wwKAvb29+XXy9\/fnwIED5n2HDh0yL0bRt2\/feJOptmYymejRowcA69evj5GEjhKVxM2WLRutW7d+pvO89957+Pr6PtcjvkSqJZs3bwYifxgpUaJEvOWingdrJHTvikt4eDhXr17lxIkT5nvOtWvXzO3z6fvO9evXOX78OBCZ5HFycorzuHny5OGVV15JVCzRRb1X2rRpk2DC08HBgdq1awMJv1c6duz4TPfHpBa1wFSlSpWoXLlyvOX69OkDRL4+Ue\/p1CSx7eZpcf2YFSWh1yPqPePg4EDXrl3jPcYbb7wR776HDx+aXwdLf\/NKly5NtmzZgITb17Nej4ikDv6BIYz415eB\/xzjVkCIxfL2diYGNi7GqsH1qJQ\/k+0DFBGbsOlSV9u2baN\/\/\/6YTCYMw8Dd3Z1q1aqRK1eueD9Ai0jiFC9eHDu7+H9zyJIlCwABAQExtjs5OfHaa6\/x119\/sWjRIvbt20eXLl1o3LgxderUwcPDI0njXL58Ob\/88gs7d+6Mc2XuKHfv3k3wOCVLlox3X9S1QuzrfRbbtm1j0qRJbN68GX9\/\/3jLWYo5od6ZCcUcfVXl7NmzW4j2f6Injo4ePWr+d1RPwPjUrFkTX19fTp8+TUhIyHP1unpa4cKFqV+\/Pjt27GDChAmsX7+eTp060ahRI2rWrImzs\/NzHd\/NzY02bdowf\/58lixZwi+\/\/BIj\/sOHD5t72cb1xTXquV69erXVqwXHlaCLz7lz5wgKCgKsex2i+Pn5mZM9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alt=\"For a curved position-time graph, the gradient of the tangent at a point gives the instantaneous velocity at that instant.\" \/><\/p>\n<p class=\"figure-caption\"><em>For a curved position-time graph, the gradient of the tangent at<br \/>\na point gives the instantaneous velocity at that instant.<\/em><\/p>\n<h2 id=\"practical-measurement-of-motion\">Practical measurement of<br \/>\nmotion<\/h2>\n<p>The coursebooks connect these definitions to measurement. Constant<br \/>\nvelocity may be determined by recording positions at known times, while<br \/>\nmodern motion analysis can use sensors or video. The IB skills section<br \/>\nexplicitly includes image\/video analysis of motion and graphical<br \/>\nrepresentation of data. Whatever the method, the central calculation<br \/>\nremains change in position divided by the corresponding time<br \/>\ninterval.<\/p>\n<p class=\"source-note\">Source basis: Oxford A.1 pp. 14-16; Pearson A.1 constant-velocity<br \/>\ntreatment; Hodder A.1; IB Guide Tools 2-3 and A.1.<\/p>\n<h2 id=\"worked-comparison-average-speed-versus-average-velocity\">Worked<br \/>\ncomparison: average speed versus average velocity<\/h2>\n<p>Oxford uses a straight-track example to show why the two averages<br \/>\nmust be kept separate. A runner first travels in one direction, stops<br \/>\nbriefly, and then runs back in the opposite direction. The total<br \/>\ndistance is obtained by adding the lengths of both running segments,<br \/>\nwhereas the final displacement is the algebraic difference because the<br \/>\nsecond segment is in the opposite direction. Dividing each by the same<br \/>\ntotal elapsed time gives two different average quantities. The example<br \/>\nis valuable because it also shows that periods of rest contribute to<br \/>\ntotal time even though they add neither distance nor displacement.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Step<\/strong><\/th>\n<th><strong>What to do<\/strong><\/th>\n<th><strong>Why<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>1. Draw a one-dimensional axis<\/td>\n<td>Mark the start, turning point and final position, and choose +<br \/>\ndirection.<\/td>\n<td>Turns direction information into signed displacement.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>2. Find total distance<\/td>\n<td>Add the magnitudes of every path segment.<\/td>\n<td>Distance is scalar and path-dependent.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>3. Find displacement<\/td>\n<td>Final position minus initial position.<\/td>\n<td>Only start and finish matter.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>4. Divide by total time<\/td>\n<td>Use total elapsed time, including stops.<\/td>\n<td>Average quantities refer to the whole interval.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Interpretation.<\/strong> Average velocity can be zero even<br \/>\nthough the object was moving for most of the interval. Conversely, a<br \/>\nlarge average speed does not tell you the final displacement or<br \/>\ndirection.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<p class=\"source-note\">Source basis: Oxford A.1 worked examples on average speed\/velocity;<br \/>\nCambridge, Hodder and Pearson definitions.<\/p>\n<h1 id=\"acceleration-and-the-meaning-of-changing-velocity\">3.<br \/>\nAcceleration and the meaning of changing velocity<\/h1>\n<p>Acceleration is the rate of change of velocity. Because velocity is a<br \/>\nvector, acceleration can result from a change in speed, a change in<br \/>\ndirection, or both. In A.1 the main quantitative treatment is<br \/>\none-dimensional, so signs are used to indicate the directions of<br \/>\nvelocity and acceleration.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Velocity v<\/strong><\/th>\n<th><strong>Acceleration a<\/strong><\/th>\n<th><strong>Effect on speed<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>positive<\/td>\n<td>positive<\/td>\n<td>Speed increases in the positive direction.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>positive<\/td>\n<td>negative<\/td>\n<td>Speed decreases; acceleration opposes the motion.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>negative<\/td>\n<td>negative<\/td>\n<td>Speed increases in the negative direction.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>negative<\/td>\n<td>positive<\/td>\n<td>Speed decreases; acceleration opposes the negative motion.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Important.<\/strong> A negative acceleration is not<br \/>\nautomatically \u201cdeceleration\u201d. Whether the speed increases or decreases<br \/>\ndepends on the signs of both velocity and acceleration.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<h2 id=\"average-and-instantaneous-acceleration\">Average and<br \/>\ninstantaneous acceleration<\/h2>\n<p>Average acceleration over a finite interval is the change in velocity<br \/>\ndivided by the time taken. Instantaneous acceleration is the value at a<br \/>\nparticular instant and is obtained from the gradient of the tangent to a<br \/>\nvelocity-time graph. The SI unit m s^-2 means that the velocity changes<br \/>\nby so many metres per second during each second, when acceleration is<br \/>\nconstant.<\/p>\n<h2 id=\"uniform-and-non-uniform-acceleration\">Uniform and non-uniform<br \/>\nacceleration<\/h2>\n<p>Uniform acceleration means constant acceleration. Equal time<br \/>\nintervals then produce equal changes in velocity, so the velocity-time<br \/>\ngraph is a straight line. Non-uniform acceleration means the<br \/>\nacceleration changes with time; a velocity-time graph is then curved or<br \/>\npiecewise, and graphical analysis is often needed. Cambridge explicitly<br \/>\nnotes that graphical analysis becomes particularly useful when<br \/>\nacceleration is not constant.<\/p>\n<p class=\"figure\"><img style=\"max-width: 100%!important; width: 100%!important; height: auto!important; display: block!important; margin: 0 auto!important; box-sizing: border-box!important;\" 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alt=\"Core graph connections in A.1: gradient moves from position to velocity to acceleration; area reverses the process from acceleration to velocity change and from velocity to displacement.\" \/><\/p>\n<p class=\"figure-caption\"><em>Core graph connections in A.1: gradient moves from position to<br \/>\nvelocity to acceleration; area reverses the process from acceleration to<br \/>\nvelocity change and from velocity to displacement.<\/em><\/p>\n<h2 id=\"position-time-graphs-how-shape-describes-motion\">Position-time<br \/>\ngraphs: how shape describes motion<\/h2>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Feature on displacement-time graph<\/strong><\/th>\n<th><strong>Physical meaning<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Horizontal line<\/td>\n<td>Position is constant: the body is at rest.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Straight line with positive gradient<\/td>\n<td>Constant positive velocity.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Straight line with negative gradient<\/td>\n<td>Constant velocity in the negative direction.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Curve becoming steeper<\/td>\n<td>Magnitude of velocity is increasing.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Curve becoming flatter<\/td>\n<td>Magnitude of velocity is decreasing.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Turning point with horizontal tangent<\/td>\n<td>Instantaneous velocity is zero at that instant.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p class=\"source-note\">Source basis: Hodder A.1 displacement-time graphs; Cambridge pp.<br \/>\n7-16; Oxford A.1; Pearson A.1.<\/p>\n<h1 id=\"reading-velocity-time-and-acceleration-time-graphs\">4. Reading<br \/>\nvelocity-time and acceleration-time graphs<\/h1>\n<p>Graph interpretation is not an optional add-on to A.1. The IB skills<br \/>\nsection requires students to interpret gradients, changes in gradient,<br \/>\nintercepts, maxima and minima, and areas under graphs. In kinematics<br \/>\nthese graphical features have direct physical meanings.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Graph<\/strong><\/th>\n<th><strong>Gradient gives<\/strong><\/th>\n<th><strong>Area gives<\/strong><\/th>\n<th><strong>Typical interpretation<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>displacement-time<\/td>\n<td>velocity<\/td>\n<td>&#8211;<\/td>\n<td>Sign and steepness of slope give direction and speed.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>velocity-time<\/td>\n<td>acceleration<\/td>\n<td>displacement<\/td>\n<td>Area below the time axis contributes negative displacement.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>speed-time<\/td>\n<td>rate of change of speed<\/td>\n<td>distance travelled<\/td>\n<td>Speed is a scalar and is never negative.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>acceleration-time<\/td>\n<td>rate of change of acceleration<\/td>\n<td>change in velocity<\/td>\n<td>A horizontal line means constant acceleration.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"area-under-a-velocity-time-graph\">Area under a velocity-time<br \/>\ngraph<\/h2>\n<p>For a small time interval, displacement is approximately velocity<br \/>\nmultiplied by time. Adding many such small intervals leads to the<br \/>\ngeneral result that the signed area under a velocity-time graph equals<br \/>\ndisplacement. Cambridge uses a staircase approximation to motivate this<br \/>\nresult. For constant acceleration the velocity-time graph is a straight<br \/>\nline, so the area is a trapezoid.<\/p>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Signed area.<\/strong> If velocity is positive, the area<br \/>\nabove the axis is positive displacement. If velocity becomes negative,<br \/>\narea below the axis is negative displacement. Total distance requires<br \/>\nadding the magnitudes of the separate travelled segments, or using a<br \/>\nspeed-time graph.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<h2 id=\"how-to-estimate-values-from-curved-graphs\">How to estimate<br \/>\nvalues from curved graphs<\/h2>\n<ul>\n<li>Draw a tangent at the required point when an instantaneous<br \/>\ngradient is needed.<\/li>\n<li>Use a large gradient triangle on the tangent and read both axes<br \/>\ncarefully.<\/li>\n<li>Estimate the area under an irregular curve by counting squares or<br \/>\ndividing the region into simple shapes.<\/li>\n<li>Check units: gradient units and area units should match the<br \/>\nphysical quantity claimed.<\/li>\n<li>When a graph crosses v = 0, the direction of motion changes if<br \/>\nthe sign of velocity changes.<\/li>\n<\/ul>\n<h2 id=\"graph-transformations-for-constant-acceleration\">Graph<br \/>\ntransformations for constant acceleration<\/h2>\n<p>For constant acceleration, v-t is linear and a-t is horizontal. The<br \/>\ncorresponding displacement-time graph is parabolic because displacement<br \/>\ncontains a term proportional to t\u00b2. Cambridge emphasizes the concavity:<br \/>\nwith positive acceleration the position-time curve is concave upward;<br \/>\nwith negative acceleration it is concave downward. These linked graph<br \/>\nshapes allow one representation to be checked against another.<\/p>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Exam habit.<\/strong> Before calculating from a graph, state<br \/>\nwhat the requested quantity corresponds to: \u201cgradient of\u2026\u201d, \u201carea<br \/>\nunder\u2026\u201d, or \u201cvalue read from\u2026\u201d. This prevents using the correct<br \/>\nnumerical operation on the wrong graph.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<p class=\"source-note\">Source basis: IB Guide graphing skills pp. 29-31; Cambridge Ch. 1.3;<br \/>\nHodder A.1; Oxford A.1 pp. 15-21; Pearson A.1.<\/p>\n<h2 id=\"interpreting-multi-stage-motion\">Interpreting multi-stage<br \/>\nmotion<\/h2>\n<p>Many examination graphs combine several types of motion. The safest<br \/>\nmethod is to divide the graph at every point where the slope changes,<br \/>\nwhere the velocity crosses zero, or where the mathematical form changes.<br \/>\nTreat each interval separately and then combine the results. For<br \/>\nexample, on a velocity-time graph a body may accelerate positively,<br \/>\ntravel at constant velocity, decelerate to rest, and then move in the<br \/>\nnegative direction. The displacement of the whole journey is the<br \/>\nalgebraic sum of the signed areas of all four regions, whereas total<br \/>\ndistance is the sum of their magnitudes.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Graph event<\/strong><\/th>\n<th><strong>What it tells you<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>v changes sign<\/td>\n<td>The body reverses direction.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>v = 0 at an isolated instant<\/td>\n<td>The body is momentarily at rest; motion may continue in the opposite<br \/>\ndirection.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>a = 0 over an interval<\/td>\n<td>Velocity is constant during that interval.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>gradient of v-t becomes steeper<\/td>\n<td>Magnitude of acceleration is increasing.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>area above and below axis cancel<\/td>\n<td>Net displacement can be small or zero even when distance is<br \/>\nlarge.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Cross-check between graphs.<\/strong> If a v-t graph is<br \/>\npositive but decreasing, the s-t graph must still rise, but its slope<br \/>\nbecomes smaller. If v crosses zero and becomes negative, the s-t graph<br \/>\nreaches a turning point and then falls.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<p class=\"source-note\">Source basis: Hodder A.1 graph interpretation; Oxford A.1 practice on<br \/>\nsigned areas and direction; Cambridge Ch. 1.3.<\/p>\n<h1 id=\"uniformly-accelerated-motion-and-the-four-equations\">5.<br \/>\nUniformly accelerated motion and the four equations<\/h1>\n<p>When acceleration is constant, five quantities describe the<br \/>\none-dimensional motion over an interval: initial velocity u, final<br \/>\nvelocity v, acceleration a, displacement s (or \u0394s), and time t. The IB<br \/>\nguide lists four equations linking these quantities.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Symbol<\/strong><\/th>\n<th><strong>Meaning<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>u<\/td>\n<td>initial velocity<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>v<\/td>\n<td>final velocity<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>a<\/td>\n<td>constant acceleration<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>s<\/td>\n<td>displacement during the interval<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>t<\/td>\n<td>time interval<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Equation<\/strong><\/th>\n<th><strong>Useful when the omitted quantity is&#8230;<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>v = u + at<\/td>\n<td>displacement s<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>s = (u + v)t \/ 2<\/td>\n<td>acceleration a<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>s = ut + 1\/2 at\u00b2<\/td>\n<td>final velocity v<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>v\u00b2 = u\u00b2 + 2as<\/td>\n<td>time t<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Condition of validity.<\/strong> These equations apply only<br \/>\nwhen acceleration is constant over the interval being analysed. They<br \/>\nmust not be used across an entire motion in which drag makes<br \/>\nacceleration change with speed.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<h2 id=\"where-the-equations-come-from\">Where the equations come<br \/>\nfrom<\/h2>\n<p>For constant acceleration, acceleration is the gradient of the<br \/>\nstraight velocity-time graph, giving v = u + at. The displacement equals<br \/>\nthe trapezoidal area under that graph, giving s = (u + v)t\/2.<br \/>\nSubstituting v = u + at into the area expression produces s = ut + 1\/2<br \/>\nat\u00b2. Eliminating t between the equations gives v\u00b2 = u\u00b2 + 2as.<br \/>\nUnderstanding this connection is more useful than treating the four<br \/>\nequations as unrelated formulas.<\/p>\n<h2 id=\"reliable-equation-selection-method\">Reliable equation-selection<br \/>\nmethod<\/h2>\n<p><strong>1.<\/strong> Choose and state a positive direction. Convert<br \/>\nall displacement, velocity and acceleration values into signed<br \/>\nquantities.<\/p>\n<p><strong>2.<\/strong> List the five variables u, v, a, s and t. Mark<br \/>\nthe known values and the required unknown.<\/p>\n<p><strong>3.<\/strong> Select the equation containing the required<br \/>\nunknown but not the one other quantity you do not know.<\/p>\n<p><strong>4.<\/strong> Substitute values with consistent SI units and<br \/>\nsolve algebraically.<\/p>\n<p><strong>5.<\/strong> Interpret the sign and magnitude of the answer,<br \/>\nand confirm that constant acceleration was a justified assumption.<\/p>\n<h2 id=\"common-algebraic-and-physical-checks\">Common algebraic and<br \/>\nphysical checks<\/h2>\n<ul>\n<li>A time obtained from a quadratic may produce two mathematical<br \/>\nroots; only roots consistent with the physical interval are<br \/>\nretained.<\/li>\n<li>A negative displacement or velocity may be correct and simply<br \/>\nindicates direction.<\/li>\n<li>If the equation v\u00b2 = u\u00b2 + 2as is used, taking a square root later<br \/>\nrequires choosing the sign of v from the physical direction of<br \/>\nmotion.<\/li>\n<li>Dimensional consistency is a useful check: every term in a<br \/>\ndisplacement equation must have units of metres; every term in a<br \/>\nvelocity equation must have units of m s^-1.<\/li>\n<\/ul>\n<p class=\"source-note\">Source basis: IB Guide A.1 p. 33; Cambridge pp. 8-10; Hodder A.1;<br \/>\nOxford A.1; Pearson A.1 SUVAT treatment.<\/p>\n<h1 id=\"free-fall-and-one-dimensional-vertical-motion\">6. Free fall and<br \/>\none-dimensional vertical motion<\/h1>\n<p>Free fall is motion under the influence of gravity when fluid<br \/>\nresistance is neglected. Close to Earth, the acceleration due to gravity<br \/>\nis treated as constant, with magnitude g about 9.8 m s^-2. The IB guide<br \/>\nrestricts projectile calculations to a constant g close to Earth, and<br \/>\nthe same constant-acceleration treatment applies to vertical free-fall<br \/>\nproblems.<\/p>\n<p class=\"figure\"><img style=\"max-width: 100%!important; width: 100%!important; height: auto!important; display: block!important; margin: 0 auto!important; box-sizing: border-box!important;\" 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\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JUp48ebRmzRpVqlTJ5zINGzbUunXrNH\/+\/OzoIgAAAADgGuOaZLuRI0fq0qVLkqRhw4alGpAdgoOD1alTJ591kpOTNXbsWNWvX1\/58+dXnjx5VLt2bY0cOVKJiYmptrFnzx49\/\/zzqly5svLkyaM8efKoSpUqev7557Vnz5409XPVqlXq0qWLypYtq5CQEBUsWFD16tXTu+++q3Pnzvlc9syZM3r77bdVr149FShQQIGBgSpWrJiqVaumxx57TJMnT\/a5jri4OL333ntq3LixihYtqqCgIJUsWVLt2rXTnDlzMnU6aFqvqVy1apVVb9WqVW7lzZs3l81mU\/PmzSVJv\/32m3r27Knw8HCFhISoVKlSeuKJJ7Rjxw6P6\/\/3v\/8tm82m0NBQJSQkuJX\/\/fff8vPzk81mk5+fn06ePOlW59KlSwoODpbNZtO\/\/\/1vl7KUlBQtX75cr7zyiho2bKjChQsrMDBQhQoVUp06dTRo0CCdOHHC+46SFBERIZvNph49ekiSYmJi9MQTTygiIkLBwcEqUKCA2zILFy7Uvffeq8KFCyt37tyqUqWKBg4cqNOnT\/tsK62yYrsk6YcfflCnTp2s9yt37twqV66c7rrrLg0cOFDR0dEZ6l9mj4urzZ07Vw899JDCwsIUHBysIkWKqGnTpho9erTH48bZoUOH1L9\/f915553Kly+f9Tm644471KNHD3311Vce1+Fpduv9+\/fLZrPpySeftF4rV66cVdfTZ8Xb7Naff\/659fratWtT3Qf333+\/bDabSpcurZSUFI915s2bp0cffdT6fVWgQAHVqVNHb7\/9ts6cOZNqGwAAAJliYFJSUkzhwoWNJJMnTx5z7ty5TK1v8uTJRpKRZLZv326aN29u\/Xz1o23btiYpKcnruiZOnGiCgoK8Lh8UFGQ+\/\/xzr8snJSWZ3r17e11ekilRooTZvHmzx+V37NhhSpQo4XN5SWbhwoUel1++fLm1b7097rvvPnP+\/Pn07WQ75329b98+r\/VWrlxp1Vu5cqVbebNmzYwk06xZM7Nw4UKTK1cuj30NDg42s2bNclt+\/fr1Vp3Vq1e7lc+ZM8dlPd98841bnR9\/\/NEqX79+vUvZkCFDUn0PChYsaNasWeN1H4SHhxtJJioqyowdO9YEBAS4LJ8\/f36X+v369fPaVkREhNmzZ4\/185AhQ7y260tWbNcLL7yQ6jpq166dof5l9rhwuHjxomnXrp3PPt52221m7969HpdftWqVyZs3b6rbGRsb67asp\/do3759qa7r6s+K83vl7MyZMyY4ONhIMn369PG5P0+ePGkCAwONJPPqq6+6lZ8+fdq0bNnSZ5+KFStmNmzY4LOd61V8YpIJH\/Cd9YhP9P67HwAA5BxOt5a0Y8cOnTp1SpLUpEkT5c2bN8vW3atXL23atElPP\/20OnbsqKJFi2r37t0aNmyYtm\/fru+\/\/16fffaZ+vbt67bsggUL9PTTT0uS8ufPr\/79+6tFixYyxmjFihX64IMPdP78eT311FMqWrSo2rVr57aO\/v37a\/z48ZKk2267TQMGDFCNGjV09uxZzZ49WxMnTtSxY8fUunVrxcbGqnTp0i7Ld+\/eXceOHVNgYKB69+6ttm3bqkSJEkpKStL+\/fu1fv16ffvttx63fd26dWrbtq0SExNVokQJvfDCC6pRo4ZKliypI0eOaObMmZoxY4YWL16sqKgoffPNN5nd3Zl2+PBhdevWTcHBwRo6dKiaNm2qxMRELVmyRP\/5z38UHx+vbt26qXz58qpTp461XJ06dZQrVy5dvHhRq1atUtOmTV3Wu3r1apefV61apQ4dOniskytXLpd1S1JSUpLCwsLUoUMHNWzYUOXKlVNQUJD++usv\/fjjj5o4caLOnDmjDh06aPv27SpevLjXbYyJidEXX3yhiIgIvfbaa6pZs6YuX76smJgYq85\/\/vMf\/e9\/\/5MklS1bVm+++aZq1aqlCxcuaM6cORo3bpwee+yxdOxZzzK7XQsXLtTo0aMlSTVq1FDfvn1VpUoV5cuXT6dPn9avv\/6qJUuWZHr0MaPHhUO3bt20cOFCSVLdunX18ssv67bbbtPx48c1efJkzZkzR7t27VLLli3166+\/uvwOSkhI0OOPP67z588rb9686tu3r1q0aKGiRYvq8uXL2r17t9asWeP1c+hJqVKlFBsbq\/nz52vQoEGSpKVLlyosLMylXrly5VJdV4ECBdS2bVvNmzdPX3\/9tUaPHq2AAM\/\/tcyePds6e6ZLly4uZQkJCWrdurW2bt0qf39\/devWTW3atFG5cuWUmJio1atX6+OPP9aJEyd033336eeff1Z4eHiatxkAACDNcjqlXw+++OILa5Ri4MCBmV6f8+imJPPVV1+51Tlz5ow1Qlu9enW38oSEBFOyZEkjyRQoUMDs2LHDrc4vv\/xijS6FhYWZhIQEt3KbzWYkmVq1ankcrZ00aZLVz44dO7qUOY8UfvLJJ163NzEx0cTFxbm8dvnyZRMREWEkmfvvv99cvHjR47Ljx4+32li2bJnXNrzJ6pFk2Ucud+7c6VZnzZo11ihY\/fr13cpbt25tJJmWLVu6ldWoUcNIMg888ICRZGrUqOG1D61bt3Yr27dvn0lMTPS6fdu3b7eOBW\/HsGMkWZK544473N4zh2PHjlkjphUqVDB\/\/\/23W50ZM2a4HOMZHUnO7HZ1797dSDLh4eE+z0Y4depUhvqXFcfFwoULrXXcd999Hrd38ODBVp3XXnvNpcz5DANvZ2wYc2W02tPnzNd7lNbPjzHeR5KNMebrr7+2yhYvXux1HU2aNDGSTOXKld3K3nzzTSPJFCpUyPz8888el9+\/f7\/1e7FLly4++3s9YiQZAIAbA9ckS9YosiQVK1YsS9fdsWNHjyNuBQoUsK4HjI2NVVxcnEv53LlzdfToUUnS4MGDdfvtt7uto0aNGho4cKAk6ciRI263ofr000+t630nTpyoPHnyuK3jySefVJs2baw2jxw5YpUdO3bMet6sWTOv2xgQEKB8+fK5vPbVV19p\/\/79ypUrl6ZOnarQ0FCPy\/bq1Uv16tWTdOX64uvBkCFDdNttt7m93qRJEz3zzDOSpE2bNunnn392KXfsow0bNujy5cvW66dPn1ZsbKy1bunKe+58XW9CQoI2bdrksh5nERERXkfnJKlq1arq1auXJKXpdmRjx451e88cpk6dqosXL0qSRo0apSJFirjVefzxx\/XAAw+k2k5qMrtdjmO0du3aHo9vh0KFCmWuo8r4cTFmzBhJUkhIiCZOnOhxewcPHqyqVatKuvJZdb62OK2fw9DQUK+fs2vtgQcesI6nGTNmeKxz8OBB65rlq0eRL1y4YO2nd999V3feeafHdYSHh+utt96SJH399df6559\/sqL7AAAALgjJks6fP289z507d5au++o\/Bp3VqlXLer5v3z6XsuXLl0uS\/Pz8FBUV5XUdTz31lDWRzo8\/\/uhxHXfeeadq1qzpdR2OEJKcnOxyWnDJkiWt51OnTvW6vCcLFiyQJLVo0UKFCxf2WddxavKGDRvS1ca1YLPZ1L17d6\/lzhMdOfavgyPAXLp0yWWiqJ9++knGGFWqVEl16tRRxYoVZYzRmjVrrDrR0dGKj493WY8vcXFx2rt3r3bs2KHt27dr+\/btVkj5\/fffXUL61cqWLatGjRp5LXdsV9GiRdW2bVuv9Zz3RVZJ73Y5jtE1a9a4fYayUkaPi6SkJOsz1aZNG5fPlDN\/f3\/17NlTknT27Flt3brVKsvM5zC7hISE6OGHH5Z05csMxySIzmbOnGl9aXf178XVq1dbXxR27NjRZ1uO3xeJiYnasmVLpvsOAABwNUKy5HL9X1aPTERGRnotcx7dcg7qkqzZcitWrOhzFKxIkSKqUKGCJGn79u3W6wkJCdq9e7ckWSO13tSvX9967ryOcuXKqUmTJpKuXKNavXp1vf3221q9erUV6LzZvHmzJGnRokVuM+Ze\/fjoo48kuY6Y5ZTy5cv73N81atRQUFCQJNd9JV3ZzyEhIZLkMiuwIyQ5Zkh2hGBPdUJCQry+X3v37lXfvn1VpkwZFShQQBUqVFC1atVUvXp1Va9e3Zq9OCUlRWfPnvW5Db44tqtWrVry8\/P+K6Ju3bo+15NWmdmuJ554QpJ08uRJVa1aVV27dtW0adOyPDBn9LjYu3evFRgz+jm86667VL58eUnS888\/r4YNG+qDDz7Qxo0b0zQ7fnZxBN8LFy5Y1187mzlzpqQr+8HxO8vB8ftCuvLljK\/fF9WqVbPqXg+\/MwAAwM2HkCy5jHSm5XYz6ZErVy6vZc4BJDk52aXMcSpuWk7\/LlGihMsyklwmKkptHc6TIV19a5+ZM2eqQYMGkq784T506FA1b95cBQoUUOvWrTVt2jQlJSW5rTMj+9HT6FN2S21fBQQEWGHp6n0VHBxs7SvnEXnHc0c4dvzrqU6DBg0UHBzs1u6iRYtUtWpVffrppzp06FCq2+FrX3q61ZOztB57WXFpQma3q1WrVvrkk08UGhqqS5cuacaMGYqKilL58uUVERGhF198Ubt27cp0PzN6XDg\/T20djs\/x1csFBgZq4cKFqly5siRp48aNGjBggBo2bKhChQqpffv2mjdvXqZupZYVWrVqZf0uufqU6z\/++EPbtm2T5Pnsmoz+3nVcFgAAAJCVCMmS7rjjDuu582mO14Or70ma3esoVaqU1q9fr6VLl+qZZ56x\/lBPSEjQjz\/+qKioKNWtW9dtRMcR+tu1a6fY2Ng0P250jgC8fv16JSYmKi4uzgoHV48k\/\/rrrzp79qwSExO1fv16lzJnJ0+eVNeuXRUfH6+8efPqnXfe0aZNm\/T3338rISFBxhgZY\/T5559by\/gKTP7+\/lmxqZmWVdvVr18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\" alt=\"With upward chosen positive, gravitational acceleration is negative throughout the motion. At maximum height the velocity is zero momentarily, but acceleration is still -g.\" \/><\/p>\n<p class=\"figure-caption\"><em>With upward chosen positive, gravitational acceleration is<br \/>\nnegative throughout the motion. At maximum height the velocity is zero<br \/>\nmomentarily, but acceleration is still -g.<\/em><\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Situation (upward is +)<\/strong><\/th>\n<th><strong>Initial\/instantaneous velocity<\/strong><\/th>\n<th><strong>Acceleration<\/strong><\/th>\n<th><strong>Interpretation<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Dropped from rest<\/td>\n<td>u = 0<\/td>\n<td>a = -g<\/td>\n<td>Speed increases downward.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Thrown upward<\/td>\n<td>u &gt; 0<\/td>\n<td>a = -g<\/td>\n<td>Velocity decreases to zero as the body rises.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>At maximum height<\/td>\n<td>v = 0<\/td>\n<td>a = -g<\/td>\n<td>The body is momentarily at rest, but gravity still acts.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Falling downward<\/td>\n<td>v &lt; 0<\/td>\n<td>a = -g<\/td>\n<td>Magnitude of the downward velocity increases.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"symmetry-when-resistance-is-negligible\">Symmetry when resistance<br \/>\nis negligible<\/h2>\n<p>For a body that returns to the same vertical level from which it was<br \/>\nlaunched, the upward and downward parts are symmetric in the ideal<br \/>\nmodel. The time to rise to maximum height equals the time to return from<br \/>\nthat height to the launch level. The speed on return has the same<br \/>\nmagnitude as the launch speed but the opposite direction. These<br \/>\nstatements cease to be exact when fluid resistance is significant.<\/p>\n<h2 id=\"graphical-view-of-a-vertical-throw\">Graphical view of a vertical<br \/>\nthrow<\/h2>\n<p>With upward positive, the velocity-time graph is a straight line of<br \/>\ngradient -g. It crosses v = 0 at the maximum height. The<br \/>\ndisplacement-time graph is a downward-opening parabola; its gradient<br \/>\ndecreases to zero at the top and becomes negative during descent. The<br \/>\nacceleration-time graph is a constant horizontal line at -g.<\/p>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Sign convention.<\/strong> Choosing downward as positive is<br \/>\nequally valid. Then a = +g. What matters is consistency across u, v, a<br \/>\nand s. Most vertical-motion errors are sign errors rather than failures<br \/>\nto choose the correct kinematic equation.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<h2 id=\"typical-vertical-motion-procedure\">Typical vertical-motion<br \/>\nprocedure<\/h2>\n<p><strong>1.<\/strong> Sketch the vertical line of motion and mark the<br \/>\nchosen positive direction.<\/p>\n<p><strong>2.<\/strong> Identify the start and end of the interval being<br \/>\nanalysed; displacement is final position minus initial position.<\/p>\n<p><strong>3.<\/strong> Use v = 0 only at the highest point, not a =<br \/>\n0.<\/p>\n<p><strong>4.<\/strong> Apply one of the four constant-acceleration<br \/>\nequations using a = \u00b1g.<\/p>\n<p><strong>5.<\/strong> If the motion is split into stages, use the final<br \/>\nvelocity of one stage as the initial velocity of the next.<\/p>\n<p class=\"source-note\">Source basis: Cambridge free-fall examples; Hodder A.1; Oxford A.1;<br \/>\nPearson A.1; IB Guide A.1 guidance.<\/p>\n<h1 id=\"projectile-motion-two-independent-components\">7. Projectile<br \/>\nmotion: two independent components<\/h1>\n<p>A projectile is a body that has been launched and then moves under<br \/>\ngravity, with fluid resistance either neglected or treated<br \/>\nqualitatively. The essential modelling idea is that horizontal and<br \/>\nvertical motions can be treated independently and then recombined.<br \/>\nOxford explicitly describes this independence, and all coursebooks use<br \/>\nthe same component method.<\/p>\n<p class=\"figure\"><img style=\"max-width: 100%!important; width: 100%!important; height: auto!important; display: block!important; margin: 0 auto!important; box-sizing: border-box!important;\" 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\" alt=\"Resolving the launch velocity into perpendicular components. With no fluid resistance, horizontal acceleration is zero while vertical acceleration is -g.\" \/><\/p>\n<p class=\"figure-caption\"><em>Resolving the launch velocity into perpendicular components. With<br \/>\nno fluid resistance, horizontal acceleration is zero while vertical<br \/>\nacceleration is -g.<\/em><\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Horizontal motion<\/strong><\/th>\n<th><strong>Vertical motion<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>u_x = u cos \u03b8<\/td>\n<td>u_y = u sin \u03b8<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>a_x = 0<\/td>\n<td>a_y = -g (if upward is positive)<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>v_x = u_x = constant<\/td>\n<td>v_y = u_y &#8211; gt<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>x = u_x t<\/td>\n<td>y = u_y t &#8211; 1\/2 gt\u00b2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"what-is-common-to-both-components\">What is common to both<br \/>\ncomponents?<\/h2>\n<ul>\n<li>The same elapsed time t applies to the horizontal and vertical<br \/>\nmotions.<\/li>\n<li>The resultant velocity is obtained by vector addition of v_x and<br \/>\nv_y and is tangent to the trajectory.<\/li>\n<li>At the highest point, only the vertical component of velocity is<br \/>\nzero. The horizontal component remains non-zero if the projectile was<br \/>\nlaunched with horizontal motion.<\/li>\n<li>Gravity changes the vertical velocity only in the no-resistance<br \/>\nmodel; it does not alter the horizontal component.<\/li>\n<\/ul>\n<h2 id=\"why-the-trajectory-is-parabolic\">Why the trajectory is<br \/>\nparabolic<\/h2>\n<p>Without resistance, horizontal displacement is proportional to time<br \/>\nwhile vertical displacement contains a t\u00b2 term. Eliminating time<br \/>\ntherefore produces a quadratic relation between vertical and horizontal<br \/>\nposition, which corresponds to a parabola. The IB guide requires<br \/>\nstudents to know that the path is parabolic but specifically states that<br \/>\nthe equation of the trajectory is not required.<\/p>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>IB boundary.<\/strong> Quantitative projectile calculations<br \/>\nare restricted to situations where fluid resistance is absent or can be<br \/>\nneglected. Students must be familiar with launches horizontally, above<br \/>\nthe horizontal, and below the horizontal.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<p class=\"source-note\">Source basis: IB Guide A.1 pp. 33-34; Oxford Fig. 21 and projectile<br \/>\nanalysis; Cambridge Ch. 1.4; Hodder and Pearson A.1.<\/p>\n<h1 id=\"solving-projectile-problems\">8. Solving projectile problems<\/h1>\n<p>The same procedure works for all required launch types. The main<br \/>\ndifference is the initial vertical component and the vertical<br \/>\ndisplacement to the final point.<\/p>\n<p class=\"figure\"><img style=\"max-width: 100%!important; width: 100%!important; height: auto!important; display: block!important; margin: 0 auto!important; box-sizing: border-box!important;\" 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alt=\"Three required launch situations: horizontal, above the horizontal, and below the horizontal. The component method is the same in each case.\" \/><\/p>\n<p class=\"figure-caption\"><em>Three required launch situations: horizontal, above the<br \/>\nhorizontal, and below the horizontal. The component method is the same<br \/>\nin each case.<\/em><\/p>\n<h2 id=\"general-method\">General method<\/h2>\n<p><strong>1.<\/strong> Draw x-y axes and choose signs, normally +x in<br \/>\nthe direction of launch and +y upward.<\/p>\n<p><strong>2.<\/strong> Resolve the initial velocity: u_x = u cos \u03b8 and<br \/>\nu_y = u sin \u03b8. If the launch is below the horizontal, u_y is negative<br \/>\nwhen +y is upward.<\/p>\n<p><strong>3.<\/strong> Write separate horizontal and vertical data sets.<br \/>\nHorizontal acceleration is zero; vertical acceleration is -g.<\/p>\n<p><strong>4.<\/strong> Use one component to determine the shared time,<br \/>\nthen substitute that time into the other component.<\/p>\n<p><strong>5.<\/strong> If final velocity is required, find v_x and v_y<br \/>\nseparately, then recombine them to obtain magnitude and direction.<\/p>\n<h2 id=\"useful-same-height-results\">Useful same-height results<\/h2>\n<p>For a projectile launched at speed u and angle \u03b8 and returning to the<br \/>\nsame vertical height, the component method gives the following<br \/>\nconvenient results. They are consequences of the required kinematic<br \/>\nmethod rather than separate principles.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Quantity<\/strong><\/th>\n<th><strong>Result<\/strong><\/th>\n<th><strong>Reason<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Time to maximum height<\/td>\n<td>T = u sin \u03b8 \/ g<\/td>\n<td>Set v_y = 0 in v_y = u_y &#8211; gt.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Maximum height<\/td>\n<td>H = u\u00b2 sin\u00b2\u03b8 \/ (2g)<\/td>\n<td>Use v_y\u00b2 = u_y\u00b2 + 2a_yH with v_y = 0.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Total time of flight<\/td>\n<td>2u sin \u03b8 \/ g<\/td>\n<td>Same-height symmetry.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Range<\/td>\n<td>R = u\u00b2 sin(2\u03b8) \/ g<\/td>\n<td>Horizontal speed multiplied by total flight time.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Range and launch angle.<\/strong> For equal launch and<br \/>\nlanding heights in the ideal model, the range expression is proportional<br \/>\nto sin(2\u03b8). Pearson notes that the maximum range therefore occurs at 45\u00b0<br \/>\nfor a fixed launch speed. This conclusion is specific to the<br \/>\nno-resistance, same-height model.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<h2 id=\"common-projectile-errors\">Common projectile errors<\/h2>\n<ul>\n<li>Using the total launch speed u in both directions instead of<br \/>\nresolving it into u cos \u03b8 and u sin \u03b8.<\/li>\n<li>Assuming the whole velocity is zero at maximum height; only v_y<br \/>\nis zero.<\/li>\n<li>Putting g into the horizontal equations when resistance is<br \/>\nneglected.<\/li>\n<li>Using same-height symmetry when the projectile lands at a<br \/>\ndifferent vertical level.<\/li>\n<li>Recombining velocity components incorrectly or omitting the<br \/>\ndirection of the final velocity.<\/li>\n<\/ul>\n<p class=\"source-note\">Source basis: Pearson A.1 projectile equations; Oxford projectile<br \/>\nanalysis; Cambridge Ch. 1.4; Hodder A.1; IB Guide guidance.<\/p>\n<h2 id=\"worked-source-example-launch-at-20-m-s-1-and-30\">Worked source<br \/>\nexample: launch at 20 m s^-1 and 30\u00b0<\/h2>\n<p>Cambridge and Pearson both use a projectile launched at 20 m s^-1 at<br \/>\n30\u00b0 to illustrate the component method. With resistance neglected and g<br \/>\ntaken close to 9.8 m s^-2, the initial components are u_x = 20 cos30\u00b0 \u2248<br \/>\n17.3 m s^-1 and u_y = 20 sin30\u00b0 = 10.0 m s^-1. At maximum height v_y =<br \/>\n0, so the time to rise is about 10.0\/9.8 = 1.02 s. The maximum height is<br \/>\nabout 5.1 m. Returning to the launch level takes twice the rise time,<br \/>\nabout 2.04 s, while the horizontal speed remains 17.3 m s^-1. The range<br \/>\nis therefore about 35 m.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Stage<\/strong><\/th>\n<th><strong>Horizontal component<\/strong><\/th>\n<th><strong>Vertical component<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Launch<\/td>\n<td>17.3 m s^-1<\/td>\n<td>+10.0 m s^-1<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Maximum height<\/td>\n<td>17.3 m s^-1<\/td>\n<td>0<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Return to launch height<\/td>\n<td>17.3 m s^-1<\/td>\n<td>-10.0 m s^-1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>The example shows three important ideas at once: horizontal and<br \/>\nvertical motions share the same time but have different accelerations;<br \/>\nthe projectile is still moving at the top because v_x is not zero; and<br \/>\nthe equal-magnitude upward\/downward vertical speeds follow from the<br \/>\nsymmetry of the ideal model. If the landing height were different, the<br \/>\nsame-height time and range shortcuts would no longer apply.<\/p>\n<p class=\"source-note\">Source basis: Cambridge Ch. 1.4 example\/figure and Pearson A.1<br \/>\nprojectile treatment.<\/p>\n<h1 id=\"fluid-resistance-and-terminal-speed\">9. Fluid resistance and<br \/>\nterminal speed<\/h1>\n<p>Real bodies moving through a gas or liquid experience fluid<br \/>\nresistance. The resistance acts opposite to the instantaneous velocity<br \/>\nand generally increases as speed increases. This makes acceleration<br \/>\nnon-uniform, so the constant-acceleration equations cannot normally be<br \/>\napplied to the whole drag-affected motion.<\/p>\n<p class=\"figure\"><img style=\"max-width: 100%!important; width: 100%!important; height: auto!important; display: block!important; margin: 0 auto!important; box-sizing: border-box!important;\" 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alt=\"Qualitative behaviour of a falling body with resistance: speed approaches a constant terminal value while acceleration falls toward zero.\" \/><\/p>\n<p class=\"figure-caption\"><em>Qualitative behaviour of a falling body with resistance: speed<br \/>\napproaches a constant terminal value while acceleration falls toward<br \/>\nzero.<\/em><\/p>\n<h2 id=\"development-of-terminal-speed-in-a-vertical-fall\">Development of<br \/>\nterminal speed in a vertical fall<\/h2>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Stage<\/strong><\/th>\n<th><strong>Fluid resistance<\/strong><\/th>\n<th><strong>Resultant acceleration \/ motion<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Immediately after release<\/td>\n<td>Very small because speed is near zero.<\/td>\n<td>Acceleration is approximately g downward.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>As speed increases<\/td>\n<td>Resistance increases upward, opposite to the fall.<\/td>\n<td>Resultant downward acceleration becomes smaller.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Terminal speed<\/td>\n<td>Upward resistance balances the downward weight (and, in a more<br \/>\ncomplete description, any other vertical fluid forces).<\/td>\n<td>Resultant force and acceleration are zero; speed remains<br \/>\nconstant.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Oxford shows the corresponding graph changes: with no resistance the<br \/>\nspeed increases linearly and acceleration remains constant; with<br \/>\nresistance the speed curve gradually flattens toward terminal speed,<br \/>\nacceleration decreases toward zero, and the distance-time graph becomes<br \/>\nless strongly curved. Hodder likewise contrasts a constant-g<br \/>\nvelocity-time line with a curve that approaches a horizontal<br \/>\nterminal-speed line.<\/p>\n<h2 id=\"effect-of-resistance-on-a-projectile\">Effect of resistance on a<br \/>\nprojectile<\/h2>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Feature<\/strong><\/th>\n<th><strong>Ideal no-resistance model<\/strong><\/th>\n<th><strong>With fluid resistance<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Horizontal velocity<\/td>\n<td>constant<\/td>\n<td>decreases during the flight<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Vertical acceleration while rising<\/td>\n<td>g downward<\/td>\n<td>downward effect is larger because drag also acts downward<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Vertical acceleration while falling<\/td>\n<td>g downward<\/td>\n<td>magnitude is reduced because drag acts upward<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Trajectory<\/td>\n<td>parabolic and, for equal heights, symmetric<\/td>\n<td>not parabolic and not symmetric<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Range \/ maximum height<\/td>\n<td>larger for the same launch conditions<\/td>\n<td>usually reduced in the standard drag-only model<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Use of SUVAT over whole flight<\/td>\n<td>valid separately in x and y<\/td>\n<td>not valid because acceleration changes<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Nuance from Pearson.<\/strong> Air effects do not always<br \/>\nsimply reduce range: the Pearson text notes that lift associated with<br \/>\nspin and surface shape can make a golf ball travel farther than the<br \/>\nsimplest drag-only comparison would predict. For the A.1 syllabus,<br \/>\nhowever, the required treatment of fluid resistance is qualitative.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<p class=\"source-note\">Source basis: Cambridge pp. 25-26; Hodder A.1 pp. 26-27; Oxford A.1<br \/>\npp. 36-39; Pearson A.1; IB Guide A.1.<\/p>\n<h2 id=\"modelling-limits-and-what-the-ib-expects\">Modelling limits and<br \/>\nwhat the IB expects<\/h2>\n<p>The five textbooks go slightly beyond the formal syllabus in<br \/>\ndifferent ways, but the IB guide sets the required depth. Cambridge, for<br \/>\nexample, illustrates resistance with simple proportional models such as<br \/>\nF proportional to v at lower speeds and F proportional to v\u00b2 at higher<br \/>\nspeeds, and shows how a terminal value follows when resistance balances<br \/>\nweight. Oxford uses computer-generated curves to show how acceleration,<br \/>\nspeed and distance evolve when resistance depends on speed. These models<br \/>\nhelp explain the shape of the graphs, but A.1 assessment requires only a<br \/>\nqualitative treatment of fluid resistance.<\/p>\n<p>This distinction matters when solving questions. If a problem merely<br \/>\nstates that air resistance is significant, you should not assume<br \/>\nconstant acceleration or invent a drag equation. Instead, explain how<br \/>\nthe resistance direction changes with the velocity, how its magnitude<br \/>\ngrows with speed, and what that implies for acceleration, trajectory and<br \/>\nterminal behaviour. Quantitative projectile calculations in A.1 are<br \/>\nrestricted to the no-resistance model.<\/p>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Time of flight.<\/strong> In the drag-only projectile example<br \/>\ndiscussed by Oxford, the time of flight is reduced; in vertical falling<br \/>\nthrough a fixed distance, resistance increases the fall time. The safe<br \/>\nsyllabus-level statement is therefore that resistance alters the time of<br \/>\nflight, and the direction of that change depends on the motion being<br \/>\nconsidered.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<p class=\"source-note\">Source basis: IB Guide A.1 guidance; Cambridge resistance model;<br \/>\nOxford modelling discussion and worked example; Hodder and Pearson<br \/>\nqualitative treatment.<\/p>\n<h1 id=\"a.1-synthesis-what-you-must-be-able-to-do\">10. A.1 synthesis:<br \/>\nwhat you must be able to do<\/h1>\n<p>The IB guide frames A.1 as the ability to describe motion, predict<br \/>\nposition in space and time, and apply one- and two-dimensional analysis<br \/>\nto real situations. The following checklist condenses the required<br \/>\nknowledge and the problem-solving habits emphasized across the five<br \/>\ntextbooks.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Area<\/strong><\/th>\n<th><strong>Minimum mastery<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Describe motion<\/td>\n<td>Distinguish position, distance and displacement; distinguish speed<br \/>\nand velocity; identify scalar and vector quantities; use a consistent<br \/>\nreference direction.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Use rates of change<\/td>\n<td>Calculate average speed\/velocity\/acceleration and determine<br \/>\ninstantaneous velocity or acceleration from tangent gradients.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Analyse graphs<\/td>\n<td>Interpret shape, slope, intercepts and turning points; use the area<br \/>\nunder v-t for displacement and under a-t for change in velocity.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Uniform acceleration<\/td>\n<td>Choose and use the four kinematic equations only when acceleration<br \/>\nis constant; connect them to the straight-line v-t graph.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Free fall<\/td>\n<td>Use constant g near Earth with correct sign; know that v = 0 but a \u2260<br \/>\n0 at the highest point.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Projectiles<\/td>\n<td>Resolve initial velocity into x and y components, use the same time<br \/>\nin both, and recombine final vector components.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Fluid resistance<\/td>\n<td>Explain why acceleration changes, why terminal speed develops, and<br \/>\nhow trajectory, range, velocity and time of flight are altered<br \/>\nqualitatively.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"essential-equations-at-a-glance\">Essential equations at a<br \/>\nglance<\/h2>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Purpose<\/strong><\/th>\n<th><strong>Equation<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>average velocity<\/td>\n<td>v_avg = \u0394s \/ \u0394t<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>average acceleration<\/td>\n<td>a_avg = \u0394v \/ \u0394t<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>uniform acceleration<\/td>\n<td>v = u + at<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>uniform acceleration<\/td>\n<td>s = (u + v)t \/ 2<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>uniform acceleration<\/td>\n<td>s = ut + 1\/2 at\u00b2<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>uniform acceleration<\/td>\n<td>v\u00b2 = u\u00b2 + 2as<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>projectile components<\/td>\n<td>u_x = u cos \u03b8, u_y = u sin \u03b8<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>near-Earth vertical motion<\/td>\n<td>a = \u00b1g, with g \u2248 9.8 m s^-2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"high-value-checks-before-finalising-an-answer\">High-value checks<br \/>\nbefore finalising an answer<\/h2>\n<ul>\n<li>Have I identified whether the question needs distance or<br \/>\ndisplacement, speed or velocity?<\/li>\n<li>Have I chosen a positive direction and used it<br \/>\nconsistently?<\/li>\n<li>Is acceleration constant over the interval before I use a<br \/>\nkinematic equation?<\/li>\n<li>On a graph, am I using the correct gradient or area relationship,<br \/>\nwith the correct sign?<\/li>\n<li>For a projectile, have I kept horizontal and vertical quantities<br \/>\nseparate until the final recombination?<\/li>\n<li>At a maximum height, have I set only the vertical velocity to<br \/>\nzero rather than the acceleration?<\/li>\n<li>If resistance is present, have I stopped treating the motion as<br \/>\nuniformly accelerated unless the problem explicitly provides a<br \/>\nconstant-acceleration interval?<\/li>\n<\/ul>\n<h2 id=\"linking-ideas-highlighted-by-the-ib-guide\">Linking ideas<br \/>\nhighlighted by the IB guide<\/h2>\n<p>A.1 is intended to connect forward to other parts of the course. The<br \/>\nguide asks students to relate linear equations of motion to rotational<br \/>\nmotion, compare gravitational and electric-field motion, consider when<br \/>\nconservation of energy can replace kinematic equations in projectile<br \/>\nproblems, connect kinematics to Newton\u2019s laws, and use graphical<br \/>\nanalysis to determine other physical quantities. These links reinforce<br \/>\nthat kinematics is a modelling language used throughout physics, not an<br \/>\nisolated collection of formulas.<\/p>\n<h2 id=\"common-misconceptions-and-corrections\">Common misconceptions and<br \/>\ncorrections<\/h2>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Misconception<\/strong><\/th>\n<th><strong>Correction \/ diagnostic check<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Distance and displacement are interchangeable.<\/td>\n<td>Distance follows the path; displacement is the vector change from<br \/>\ninitial to final position. Ask whether direction matters.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Negative acceleration always means slowing down.<\/td>\n<td>Compare the signs of v and a. Same sign means speed is increasing;<br \/>\nopposite signs mean speed is decreasing.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>At the top of a vertical flight, acceleration is zero.<\/td>\n<td>Only the vertical velocity is zero. The acceleration remains g<br \/>\ndownward.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>The area under every motion graph gives distance.<\/td>\n<td>Area under v-t gives signed displacement; area under speed-t gives<br \/>\ndistance; area under a-t gives change in velocity.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>All projectile formulas can be used in every problem.<\/td>\n<td>Special same-height results require equal launch\/landing heights and<br \/>\nnegligible resistance. Otherwise use the component SUVAT method.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>If air resistance acts, use a smaller constant value of g.<\/td>\n<td>Resistance makes the resultant acceleration change with speed and<br \/>\ndirection. Do not replace g by a fixed reduced value over the whole<br \/>\nmotion.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>At maximum height a projectile is at rest.<\/td>\n<td>Only v_y is zero. Unless the launch was purely vertical, v_x remains<br \/>\nnon-zero.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"a-disciplined-a.1-problem-solving-workflow\">A disciplined A.1<br \/>\nproblem-solving workflow<\/h2>\n<p>Across the coursebooks, successful solutions follow the same pattern<br \/>\neven when the wording differs. First translate the physical description<br \/>\ninto a model; then choose the mathematics that matches that model. This<br \/>\nprevents the most common mistake in kinematics: selecting an equation<br \/>\nbefore deciding what the signs, directions and assumptions mean.<\/p>\n<p><strong>1.<\/strong> Represent the situation: sketch the path or<br \/>\ngraph, mark initial and final points, and define the coordinate<br \/>\naxes.<\/p>\n<p><strong>2.<\/strong> Classify the motion: one-dimensional or<br \/>\ntwo-dimensional; constant or non-uniform acceleration; resistance<br \/>\nnegligible or significant.<\/p>\n<p><strong>3.<\/strong> Identify the target quantity and its type: scalar<br \/>\nor vector. If it is a vector, decide how direction will be reported.<\/p>\n<p><strong>4.<\/strong> Choose the relationship: definition, graph<br \/>\ngradient\/area, constant-acceleration equation, or separate projectile<br \/>\ncomponents.<\/p>\n<p><strong>5.<\/strong> Calculate with consistent units, then interpret<br \/>\nthe sign and direction rather than reporting a bare number.<\/p>\n<p><strong>6.<\/strong> Check the result against the physical picture:<br \/>\nshould the body be speeding up or slowing down, above or below the<br \/>\nstart, moving left or right?<\/p>\n<p><strong>7.<\/strong> State the modelling assumption when it matters,<br \/>\nespecially constant acceleration, constant g near Earth, and negligible<br \/>\nresistance in quantitative projectile work.<\/p>\n<h2 id=\"using-the-ib-data-booklet-and-graph-skills\">Using the IB data<br \/>\nbooklet and graph skills<\/h2>\n<p>The four constant-acceleration equations are provided in the Physics<br \/>\ndata booklet, so A.1 is not primarily a test of memorization. The skill<br \/>\nis to recognize when each equation applies and to combine it with<br \/>\ncorrect vector signs and graph interpretation. The IB skills framework<br \/>\nalso makes graph construction and interpretation assessable: students<br \/>\nmay need to obtain a gradient, estimate an area, identify a turning<br \/>\npoint, compare uniform with non-uniform acceleration, or infer a<br \/>\nphysical quantity from a graph. A complete A.1 revision should therefore<br \/>\npractise both algebraic and graphical representations of the same<br \/>\nmotion.<\/p>\n<h2 id=\"precise-terminology-to-retain\">Precise terminology to<br \/>\nretain<\/h2>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Term<\/strong><\/th>\n<th><strong>Use it to mean&#8230;<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Reference point<\/td>\n<td>The chosen origin relative to which position is measured.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Trajectory<\/td>\n<td>The path followed by a projectile.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Range<\/td>\n<td>The horizontal distance travelled by a projectile before the stated<br \/>\nimpact point.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Uniform acceleration<\/td>\n<td>Acceleration that remains constant with time.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Non-uniform acceleration<\/td>\n<td>Acceleration whose magnitude and\/or direction changes with<br \/>\ntime.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Terminal speed<\/td>\n<td>A constant speed reached when the resultant force becomes zero<br \/>\nbecause resistive effects balance the driving force in the stated<br \/>\nsituation.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Final retrieval check.<\/strong> If you can move fluently<br \/>\namong words, diagrams, equations and graphs for the same motion &#8211; and<br \/>\ncan state when the ideal model breaks down because of fluid resistance &#8211;<br \/>\nyou have covered the full formal content of A.1.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Final perspective.<\/strong> A strong A.1 solution begins<br \/>\nwith a model: define the coordinate system, identify whether<br \/>\nacceleration is constant, choose a graphical or algebraic<br \/>\nrepresentation, and only then calculate. The equations are most reliable<br \/>\nwhen the assumptions behind them are made explicit.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<p><em>This revision is synthesized only from the six project sources:<br \/>\nthe formal IB Physics Guide (first assessment 2025) and the five<br \/>\nuploaded 2023 IB Physics coursebooks.<\/em><\/p>\n<\/div>\n<div class=\"footer\">IB Physics A.1 Kinematics summary \u2022 web edition converted from the approved project document.<\/div>\n<\/article>\n<\/div>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Section 2&#8243; tab_id=&#8221;1786533186491-1af8ef5b-8730&#8243;][vc_column_text css=&#8221;&#8221;]I am text block. Click edit button to change this text. Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.[\/vc_column_text][\/vc_tta_section][\/vc_tta_accordion][\/vc_column][\/vc_row][vc_row css=&#8221;.vc_custom_1707913018606{margin-bottom: 0px !important;}&#8221;][vc_column css=&#8221;.vc_custom_1707913025066{padding-top: 0px !important;}&#8221;][vc_tta_accordion active_section=&#8221;1&#8243; title=&#8221;A. Space, time and motion&#8221;][vc_tta_section title=&#8221;A.1 KINEMATICS&#8221; tab_id=&#8221;1786541383702-d96fab46-0931&#8243;][vc_column_text css=&#8221;&#8221;]<\/p>\n<div class=\"site-shell\">\n<article class=\"article\">\n<section id=\"top\" class=\"hero\">\n<div class=\"eyebrow\">IB PHYSICS \u2022 A. SPACE, TIME AND MOTION<\/div>\n<h1 class=\"page-title\">A.1 KINEMATICS<\/h1>\n<p class=\"subtitle\">Space, time and motion | Standard Level and Higher Level<\/p>\n<\/section>\n<nav class=\"toc\" aria-label=\"Table of contents\">\n<div class=\"toc-title\">Contents<\/div>\n<ol>\n<li class=\"toc-h2\"><a href=\"#guiding-questions\">Guiding questions<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#describing-motion-position-and-reference-direction\">1.<br \/>\nDescribing motion: position and reference direction<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#scalar-and-vector-quantities\">Scalar and vector quantities<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#distance-displacement-speed-and-velocity\">2. Distance,<br \/>\ndisplacement, speed and velocity<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#average-quantities\">Average quantities<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#instantaneous-speed-and-velocity\">Instantaneous speed and<br \/>\nvelocity<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#practical-measurement-of-motion\">Practical measurement of<br \/>\nmotion<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#worked-comparison-average-speed-versus-average-velocity\">Worked<br \/>\ncomparison: average speed versus average velocity<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#acceleration-and-the-meaning-of-changing-velocity\">3.<br \/>\nAcceleration and the meaning of changing velocity<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#average-and-instantaneous-acceleration\">Average and<br \/>\ninstantaneous acceleration<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#uniform-and-non-uniform-acceleration\">Uniform and non-uniform<br \/>\nacceleration<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#position-time-graphs-how-shape-describes-motion\">Position-time<br \/>\ngraphs: how shape describes motion<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#reading-velocity-time-and-acceleration-time-graphs\">4. Reading<br \/>\nvelocity-time and acceleration-time graphs<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#area-under-a-velocity-time-graph\">Area under a velocity-time<br \/>\ngraph<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#how-to-estimate-values-from-curved-graphs\">How to estimate<br \/>\nvalues from curved graphs<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#graph-transformations-for-constant-acceleration\">Graph<br \/>\ntransformations for constant acceleration<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#interpreting-multi-stage-motion\">Interpreting multi-stage<br \/>\nmotion<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#uniformly-accelerated-motion-and-the-four-equations\">5.<br \/>\nUniformly accelerated motion and the four equations<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#where-the-equations-come-from\">Where the equations come<br \/>\nfrom<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#reliable-equation-selection-method\">Reliable equation-selection<br \/>\nmethod<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#common-algebraic-and-physical-checks\">Common algebraic and<br \/>\nphysical checks<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#free-fall-and-one-dimensional-vertical-motion\">6. Free fall and<br \/>\none-dimensional vertical motion<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#symmetry-when-resistance-is-negligible\">Symmetry when resistance<br \/>\nis negligible<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#graphical-view-of-a-vertical-throw\">Graphical view of a vertical<br \/>\nthrow<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#typical-vertical-motion-procedure\">Typical vertical-motion<br \/>\nprocedure<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#projectile-motion-two-independent-components\">7. Projectile<br \/>\nmotion: two independent components<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#what-is-common-to-both-components\">What is common to both<br \/>\ncomponents?<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#why-the-trajectory-is-parabolic\">Why the trajectory is<br \/>\nparabolic<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#solving-projectile-problems\">8. Solving projectile problems<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#general-method\">General method<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#useful-same-height-results\">Useful same-height results<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#common-projectile-errors\">Common projectile errors<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#worked-source-example-launch-at-20-m-s-1-and-30\">Worked source<br \/>\nexample: launch at 20 m s^-1 and 30\u00b0<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#fluid-resistance-and-terminal-speed\">9. Fluid resistance and<br \/>\nterminal speed<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#development-of-terminal-speed-in-a-vertical-fall\">Development of<br \/>\nterminal speed in a vertical fall<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#effect-of-resistance-on-a-projectile\">Effect of resistance on a<br \/>\nprojectile<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#modelling-limits-and-what-the-ib-expects\">Modelling limits and<br \/>\nwhat the IB expects<\/a><\/li>\n<li class=\"toc-h1\"><a href=\"#a.1-synthesis-what-you-must-be-able-to-do\">10. A.1 synthesis:<br \/>\nwhat you must be able to do<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#essential-equations-at-a-glance\">Essential equations at a<br \/>\nglance<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#high-value-checks-before-finalising-an-answer\">High-value checks<br \/>\nbefore finalising an answer<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#linking-ideas-highlighted-by-the-ib-guide\">Linking ideas<br \/>\nhighlighted by the IB guide<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#common-misconceptions-and-corrections\">Common misconceptions and<br \/>\ncorrections<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#a-disciplined-a.1-problem-solving-workflow\">A disciplined A.1<br \/>\nproblem-solving workflow<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#using-the-ib-data-booklet-and-graph-skills\">Using the IB data<br \/>\nbooklet and graph skills<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#precise-terminology-to-retain\">Precise terminology to<br \/>\nretain<\/a><\/li>\n<\/ol>\n<\/nav>\n<div class=\"content\">\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>IB syllabus status.<\/strong> A.1 is prescribed for both SL<br \/>\nand HL, with a recommended 9 teaching hours and no additional HL<br \/>\ncontent. The guide requires description and analysis of motion using<br \/>\nposition, velocity and acceleration; average and instantaneous<br \/>\nquantities; motion graphs; constant-acceleration equations; projectiles;<br \/>\nand the qualitative effects of fluid resistance and terminal speed.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<h2 id=\"guiding-questions\">Guiding questions<\/h2>\n<ul>\n<li>How can the motion of a body be described quantitatively and<br \/>\nqualitatively?<\/li>\n<li>How can the position of a body in space and time be<br \/>\npredicted?<\/li>\n<li>How can the analysis of motion in one and two dimensions be used<br \/>\nto solve real-life problems?<\/li>\n<\/ul>\n<h1 id=\"describing-motion-position-and-reference-direction\">1.<br \/>\nDescribing motion: position and reference direction<\/h1>\n<p>Kinematics is the description of motion. The starting point is a<br \/>\ncoordinate system: a chosen origin and a chosen positive direction. In<br \/>\none-dimensional motion, a position can therefore be represented by a<br \/>\npositive or negative coordinate. Cambridge emphasizes that the choice of<br \/>\npositive direction is arbitrary, but once chosen it must be used<br \/>\nconsistently. Horizontal position is commonly written x, vertical<br \/>\nposition y, and a general one-dimensional position s.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Idea<\/strong><\/th>\n<th><strong>Meaning \/ implication<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Reference point (origin)<\/td>\n<td>The point from which position is measured. Changing the origin<br \/>\nchanges position coordinates, but it does not change the actual<br \/>\nmotion.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Positive direction<\/td>\n<td>Chosen by the solver. Motion opposite to this direction is<br \/>\nrepresented by negative displacement or velocity.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Position<\/td>\n<td>Location relative to the origin. In one dimension its sign indicates<br \/>\nwhich side of the origin the body lies on.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Change in position<\/td>\n<td>The displacement: final position minus initial position. It is a<br \/>\nvector quantity.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p class=\"figure\"><img style=\"max-width: 100%!important; width: 100%!important; height: auto!important; display: block!important; margin: 0 auto!important; box-sizing: border-box!important;\" 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alt=\"Distance follows the actual path; displacement connects initial and final positions directly and includes direction.\" \/><\/p>\n<p class=\"figure-caption\"><em>Distance follows the actual path; displacement connects initial<br \/>\nand final positions directly and includes direction.<\/em><\/p>\n<h2 id=\"scalar-and-vector-quantities\">Scalar and vector quantities<\/h2>\n<p>A scalar is completely specified by magnitude. A vector requires<br \/>\nmagnitude and direction. This distinction is essential throughout A.1<br \/>\nbecause distance and speed are scalars, whereas displacement, velocity<br \/>\nand acceleration are vectors. A negative vector component identifies<br \/>\ndirection relative to the chosen axis; it does not mean that the<br \/>\nmagnitude itself is negative.<\/p>\n<p class=\"source-note\">Source basis: IB Physics Guide A.1, pp. 33-34; Cambridge Ch. 1.1;<br \/>\nHodder A.1; Oxford A.1; Pearson SL\/HL A.1.<\/p>\n<h1 id=\"distance-displacement-speed-and-velocity\">2. Distance,<br \/>\ndisplacement, speed and velocity<\/h1>\n<p>The most common early errors in kinematics come from treating<br \/>\ndistance as if it were displacement, or speed as if it were velocity.<br \/>\nThe five project sources consistently separate these ideas.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Quantity<\/strong><\/th>\n<th><strong>Definition \/ interpretation<\/strong><\/th>\n<th><strong>Type<\/strong><\/th>\n<th><strong>SI unit<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Distance<\/td>\n<td>Total length of the route travelled, irrespective of direction.<\/td>\n<td>Scalar<\/td>\n<td>m<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Displacement<\/td>\n<td>Change in position from start to finish; in one dimension \u0394s = s_f &#8211;<br \/>\ns_i.<\/td>\n<td>Vector<\/td>\n<td>m<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Speed<\/td>\n<td>Rate at which distance is travelled; magnitude of velocity.<\/td>\n<td>Scalar<\/td>\n<td>m s^-1<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Velocity<\/td>\n<td>Rate of change of position\/displacement; direction must be<br \/>\nspecified.<\/td>\n<td>Vector<\/td>\n<td>m s^-1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Key comparison.<\/strong> A runner completing a lap may<br \/>\ntravel a large distance but have zero displacement if the finish is the<br \/>\nstarting point. The average speed is then non-zero, while the average<br \/>\nvelocity over the whole lap is zero.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<h2 id=\"average-quantities\">Average quantities<\/h2>\n<p>Average values describe an entire time interval. They do not show<br \/>\nwhat happens at each instant within the interval.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Quantity<\/strong><\/th>\n<th><strong>Relationship<\/strong><\/th>\n<th><strong>What the numerator represents<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Average speed<\/td>\n<td>total distance \/ total time<\/td>\n<td>Total path length, always non-negative.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Average velocity<\/td>\n<td>total displacement \/ total time<\/td>\n<td>Net change in position, including sign\/direction.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Average acceleration<\/td>\n<td>change in velocity \/ time interval<\/td>\n<td>Vector change in velocity, not merely change in speed.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"instantaneous-speed-and-velocity\">Instantaneous speed and<br \/>\nvelocity<\/h2>\n<p>The instantaneous value is the value at a particular moment. Oxford<br \/>\nillustrates this graphically: on a curved distance- or displacement-time<br \/>\ngraph, the instantaneous speed or velocity is found from the gradient of<br \/>\na tangent at the required time. A large tangent triangle reduces the<br \/>\neffect of reading uncertainty from the graph. For straight-line<br \/>\nconstant-velocity motion, instantaneous velocity equals average velocity<br \/>\nover any interval.<\/p>\n<p class=\"figure\"><img style=\"max-width: 100%!important; width: 100%!important; height: auto!important; display: block!important; margin: 0 auto!important; box-sizing: border-box!important;\" 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alt=\"For a curved position-time graph, the gradient of the tangent at a point gives the instantaneous velocity at that instant.\" \/><\/p>\n<p class=\"figure-caption\"><em>For a curved position-time graph, the gradient of the tangent at<br \/>\na point gives the instantaneous velocity at that instant.<\/em><\/p>\n<h2 id=\"practical-measurement-of-motion\">Practical measurement of<br \/>\nmotion<\/h2>\n<p>The coursebooks connect these definitions to measurement. Constant<br \/>\nvelocity may be determined by recording positions at known times, while<br \/>\nmodern motion analysis can use sensors or video. The IB skills section<br \/>\nexplicitly includes image\/video analysis of motion and graphical<br \/>\nrepresentation of data. Whatever the method, the central calculation<br \/>\nremains change in position divided by the corresponding time<br \/>\ninterval.<\/p>\n<p class=\"source-note\">Source basis: Oxford A.1 pp. 14-16; Pearson A.1 constant-velocity<br \/>\ntreatment; Hodder A.1; IB Guide Tools 2-3 and A.1.<\/p>\n<h2 id=\"worked-comparison-average-speed-versus-average-velocity\">Worked<br \/>\ncomparison: average speed versus average velocity<\/h2>\n<p>Oxford uses a straight-track example to show why the two averages<br \/>\nmust be kept separate. A runner first travels in one direction, stops<br \/>\nbriefly, and then runs back in the opposite direction. The total<br \/>\ndistance is obtained by adding the lengths of both running segments,<br \/>\nwhereas the final displacement is the algebraic difference because the<br \/>\nsecond segment is in the opposite direction. Dividing each by the same<br \/>\ntotal elapsed time gives two different average quantities. The example<br \/>\nis valuable because it also shows that periods of rest contribute to<br \/>\ntotal time even though they add neither distance nor displacement.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Step<\/strong><\/th>\n<th><strong>What to do<\/strong><\/th>\n<th><strong>Why<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>1. Draw a one-dimensional axis<\/td>\n<td>Mark the start, turning point and final position, and choose +<br \/>\ndirection.<\/td>\n<td>Turns direction information into signed displacement.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>2. Find total distance<\/td>\n<td>Add the magnitudes of every path segment.<\/td>\n<td>Distance is scalar and path-dependent.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>3. Find displacement<\/td>\n<td>Final position minus initial position.<\/td>\n<td>Only start and finish matter.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>4. Divide by total time<\/td>\n<td>Use total elapsed time, including stops.<\/td>\n<td>Average quantities refer to the whole interval.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Interpretation.<\/strong> Average velocity can be zero even<br \/>\nthough the object was moving for most of the interval. Conversely, a<br \/>\nlarge average speed does not tell you the final displacement or<br \/>\ndirection.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<p class=\"source-note\">Source basis: Oxford A.1 worked examples on average speed\/velocity;<br \/>\nCambridge, Hodder and Pearson definitions.<\/p>\n<h1 id=\"acceleration-and-the-meaning-of-changing-velocity\">3.<br \/>\nAcceleration and the meaning of changing velocity<\/h1>\n<p>Acceleration is the rate of change of velocity. Because velocity is a<br \/>\nvector, acceleration can result from a change in speed, a change in<br \/>\ndirection, or both. In A.1 the main quantitative treatment is<br \/>\none-dimensional, so signs are used to indicate the directions of<br \/>\nvelocity and acceleration.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Velocity v<\/strong><\/th>\n<th><strong>Acceleration a<\/strong><\/th>\n<th><strong>Effect on speed<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>positive<\/td>\n<td>positive<\/td>\n<td>Speed increases in the positive direction.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>positive<\/td>\n<td>negative<\/td>\n<td>Speed decreases; acceleration opposes the motion.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>negative<\/td>\n<td>negative<\/td>\n<td>Speed increases in the negative direction.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>negative<\/td>\n<td>positive<\/td>\n<td>Speed decreases; acceleration opposes the negative motion.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Important.<\/strong> A negative acceleration is not<br \/>\nautomatically \u201cdeceleration\u201d. Whether the speed increases or decreases<br \/>\ndepends on the signs of both velocity and acceleration.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<h2 id=\"average-and-instantaneous-acceleration\">Average and<br \/>\ninstantaneous acceleration<\/h2>\n<p>Average acceleration over a finite interval is the change in velocity<br \/>\ndivided by the time taken. Instantaneous acceleration is the value at a<br \/>\nparticular instant and is obtained from the gradient of the tangent to a<br \/>\nvelocity-time graph. The SI unit m s^-2 means that the velocity changes<br \/>\nby so many metres per second during each second, when acceleration is<br \/>\nconstant.<\/p>\n<h2 id=\"uniform-and-non-uniform-acceleration\">Uniform and non-uniform<br \/>\nacceleration<\/h2>\n<p>Uniform acceleration means constant acceleration. Equal time<br \/>\nintervals then produce equal changes in velocity, so the velocity-time<br \/>\ngraph is a straight line. Non-uniform acceleration means the<br \/>\nacceleration changes with time; a velocity-time graph is then curved or<br \/>\npiecewise, and graphical analysis is often needed. Cambridge explicitly<br \/>\nnotes that graphical analysis becomes particularly useful when<br \/>\nacceleration is not constant.<\/p>\n<p class=\"figure\"><img style=\"max-width: 100%!important; width: 100%!important; height: auto!important; display: block!important; margin: 0 auto!important; box-sizing: border-box!important;\" 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alt=\"Core graph connections in A.1: gradient moves from position to velocity to acceleration; area reverses the process from acceleration to velocity change and from velocity to displacement.\" \/><\/p>\n<p class=\"figure-caption\"><em>Core graph connections in A.1: gradient moves from position to<br \/>\nvelocity to acceleration; area reverses the process from acceleration to<br \/>\nvelocity change and from velocity to displacement.<\/em><\/p>\n<h2 id=\"position-time-graphs-how-shape-describes-motion\">Position-time<br \/>\ngraphs: how shape describes motion<\/h2>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Feature on displacement-time graph<\/strong><\/th>\n<th><strong>Physical meaning<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Horizontal line<\/td>\n<td>Position is constant: the body is at rest.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Straight line with positive gradient<\/td>\n<td>Constant positive velocity.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Straight line with negative gradient<\/td>\n<td>Constant velocity in the negative direction.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Curve becoming steeper<\/td>\n<td>Magnitude of velocity is increasing.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Curve becoming flatter<\/td>\n<td>Magnitude of velocity is decreasing.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Turning point with horizontal tangent<\/td>\n<td>Instantaneous velocity is zero at that instant.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p class=\"source-note\">Source basis: Hodder A.1 displacement-time graphs; Cambridge pp.<br \/>\n7-16; Oxford A.1; Pearson A.1.<\/p>\n<h1 id=\"reading-velocity-time-and-acceleration-time-graphs\">4. Reading<br \/>\nvelocity-time and acceleration-time graphs<\/h1>\n<p>Graph interpretation is not an optional add-on to A.1. The IB skills<br \/>\nsection requires students to interpret gradients, changes in gradient,<br \/>\nintercepts, maxima and minima, and areas under graphs. In kinematics<br \/>\nthese graphical features have direct physical meanings.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Graph<\/strong><\/th>\n<th><strong>Gradient gives<\/strong><\/th>\n<th><strong>Area gives<\/strong><\/th>\n<th><strong>Typical interpretation<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>displacement-time<\/td>\n<td>velocity<\/td>\n<td>&#8211;<\/td>\n<td>Sign and steepness of slope give direction and speed.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>velocity-time<\/td>\n<td>acceleration<\/td>\n<td>displacement<\/td>\n<td>Area below the time axis contributes negative displacement.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>speed-time<\/td>\n<td>rate of change of speed<\/td>\n<td>distance travelled<\/td>\n<td>Speed is a scalar and is never negative.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>acceleration-time<\/td>\n<td>rate of change of acceleration<\/td>\n<td>change in velocity<\/td>\n<td>A horizontal line means constant acceleration.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"area-under-a-velocity-time-graph\">Area under a velocity-time<br \/>\ngraph<\/h2>\n<p>For a small time interval, displacement is approximately velocity<br \/>\nmultiplied by time. Adding many such small intervals leads to the<br \/>\ngeneral result that the signed area under a velocity-time graph equals<br \/>\ndisplacement. Cambridge uses a staircase approximation to motivate this<br \/>\nresult. For constant acceleration the velocity-time graph is a straight<br \/>\nline, so the area is a trapezoid.<\/p>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Signed area.<\/strong> If velocity is positive, the area<br \/>\nabove the axis is positive displacement. If velocity becomes negative,<br \/>\narea below the axis is negative displacement. Total distance requires<br \/>\nadding the magnitudes of the separate travelled segments, or using a<br \/>\nspeed-time graph.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<h2 id=\"how-to-estimate-values-from-curved-graphs\">How to estimate<br \/>\nvalues from curved graphs<\/h2>\n<ul>\n<li>Draw a tangent at the required point when an instantaneous<br \/>\ngradient is needed.<\/li>\n<li>Use a large gradient triangle on the tangent and read both axes<br \/>\ncarefully.<\/li>\n<li>Estimate the area under an irregular curve by counting squares or<br \/>\ndividing the region into simple shapes.<\/li>\n<li>Check units: gradient units and area units should match the<br \/>\nphysical quantity claimed.<\/li>\n<li>When a graph crosses v = 0, the direction of motion changes if<br \/>\nthe sign of velocity changes.<\/li>\n<\/ul>\n<h2 id=\"graph-transformations-for-constant-acceleration\">Graph<br \/>\ntransformations for constant acceleration<\/h2>\n<p>For constant acceleration, v-t is linear and a-t is horizontal. The<br \/>\ncorresponding displacement-time graph is parabolic because displacement<br \/>\ncontains a term proportional to t\u00b2. Cambridge emphasizes the concavity:<br \/>\nwith positive acceleration the position-time curve is concave upward;<br \/>\nwith negative acceleration it is concave downward. These linked graph<br \/>\nshapes allow one representation to be checked against another.<\/p>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Exam habit.<\/strong> Before calculating from a graph, state<br \/>\nwhat the requested quantity corresponds to: \u201cgradient of\u2026\u201d, \u201carea<br \/>\nunder\u2026\u201d, or \u201cvalue read from\u2026\u201d. This prevents using the correct<br \/>\nnumerical operation on the wrong graph.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<p class=\"source-note\">Source basis: IB Guide graphing skills pp. 29-31; Cambridge Ch. 1.3;<br \/>\nHodder A.1; Oxford A.1 pp. 15-21; Pearson A.1.<\/p>\n<h2 id=\"interpreting-multi-stage-motion\">Interpreting multi-stage<br \/>\nmotion<\/h2>\n<p>Many examination graphs combine several types of motion. The safest<br \/>\nmethod is to divide the graph at every point where the slope changes,<br \/>\nwhere the velocity crosses zero, or where the mathematical form changes.<br \/>\nTreat each interval separately and then combine the results. For<br \/>\nexample, on a velocity-time graph a body may accelerate positively,<br \/>\ntravel at constant velocity, decelerate to rest, and then move in the<br \/>\nnegative direction. The displacement of the whole journey is the<br \/>\nalgebraic sum of the signed areas of all four regions, whereas total<br \/>\ndistance is the sum of their magnitudes.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Graph event<\/strong><\/th>\n<th><strong>What it tells you<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>v changes sign<\/td>\n<td>The body reverses direction.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>v = 0 at an isolated instant<\/td>\n<td>The body is momentarily at rest; motion may continue in the opposite<br \/>\ndirection.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>a = 0 over an interval<\/td>\n<td>Velocity is constant during that interval.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>gradient of v-t becomes steeper<\/td>\n<td>Magnitude of acceleration is increasing.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>area above and below axis cancel<\/td>\n<td>Net displacement can be small or zero even when distance is<br \/>\nlarge.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Cross-check between graphs.<\/strong> If a v-t graph is<br \/>\npositive but decreasing, the s-t graph must still rise, but its slope<br \/>\nbecomes smaller. If v crosses zero and becomes negative, the s-t graph<br \/>\nreaches a turning point and then falls.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<p class=\"source-note\">Source basis: Hodder A.1 graph interpretation; Oxford A.1 practice on<br \/>\nsigned areas and direction; Cambridge Ch. 1.3.<\/p>\n<h1 id=\"uniformly-accelerated-motion-and-the-four-equations\">5.<br \/>\nUniformly accelerated motion and the four equations<\/h1>\n<p>When acceleration is constant, five quantities describe the<br \/>\none-dimensional motion over an interval: initial velocity u, final<br \/>\nvelocity v, acceleration a, displacement s (or \u0394s), and time t. The IB<br \/>\nguide lists four equations linking these quantities.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Symbol<\/strong><\/th>\n<th><strong>Meaning<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>u<\/td>\n<td>initial velocity<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>v<\/td>\n<td>final velocity<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>a<\/td>\n<td>constant acceleration<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>s<\/td>\n<td>displacement during the interval<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>t<\/td>\n<td>time interval<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Equation<\/strong><\/th>\n<th><strong>Useful when the omitted quantity is&#8230;<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>v = u + at<\/td>\n<td>displacement s<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>s = (u + v)t \/ 2<\/td>\n<td>acceleration a<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>s = ut + 1\/2 at\u00b2<\/td>\n<td>final velocity v<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>v\u00b2 = u\u00b2 + 2as<\/td>\n<td>time t<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Condition of validity.<\/strong> These equations apply only<br \/>\nwhen acceleration is constant over the interval being analysed. They<br \/>\nmust not be used across an entire motion in which drag makes<br \/>\nacceleration change with speed.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<h2 id=\"where-the-equations-come-from\">Where the equations come<br \/>\nfrom<\/h2>\n<p>For constant acceleration, acceleration is the gradient of the<br \/>\nstraight velocity-time graph, giving v = u + at. The displacement equals<br \/>\nthe trapezoidal area under that graph, giving s = (u + v)t\/2.<br \/>\nSubstituting v = u + at into the area expression produces s = ut + 1\/2<br \/>\nat\u00b2. Eliminating t between the equations gives v\u00b2 = u\u00b2 + 2as.<br \/>\nUnderstanding this connection is more useful than treating the four<br \/>\nequations as unrelated formulas.<\/p>\n<h2 id=\"reliable-equation-selection-method\">Reliable equation-selection<br \/>\nmethod<\/h2>\n<p><strong>1.<\/strong> Choose and state a positive direction. Convert<br \/>\nall displacement, velocity and acceleration values into signed<br \/>\nquantities.<\/p>\n<p><strong>2.<\/strong> List the five variables u, v, a, s and t. Mark<br \/>\nthe known values and the required unknown.<\/p>\n<p><strong>3.<\/strong> Select the equation containing the required<br \/>\nunknown but not the one other quantity you do not know.<\/p>\n<p><strong>4.<\/strong> Substitute values with consistent SI units and<br \/>\nsolve algebraically.<\/p>\n<p><strong>5.<\/strong> Interpret the sign and magnitude of the answer,<br \/>\nand confirm that constant acceleration was a justified assumption.<\/p>\n<h2 id=\"common-algebraic-and-physical-checks\">Common algebraic and<br \/>\nphysical checks<\/h2>\n<ul>\n<li>A time obtained from a quadratic may produce two mathematical<br \/>\nroots; only roots consistent with the physical interval are<br \/>\nretained.<\/li>\n<li>A negative displacement or velocity may be correct and simply<br \/>\nindicates direction.<\/li>\n<li>If the equation v\u00b2 = u\u00b2 + 2as is used, taking a square root later<br \/>\nrequires choosing the sign of v from the physical direction of<br \/>\nmotion.<\/li>\n<li>Dimensional consistency is a useful check: every term in a<br \/>\ndisplacement equation must have units of metres; every term in a<br \/>\nvelocity equation must have units of m s^-1.<\/li>\n<\/ul>\n<p class=\"source-note\">Source basis: IB Guide A.1 p. 33; Cambridge pp. 8-10; Hodder A.1;<br \/>\nOxford A.1; Pearson A.1 SUVAT treatment.<\/p>\n<h1 id=\"free-fall-and-one-dimensional-vertical-motion\">6. Free fall and<br \/>\none-dimensional vertical motion<\/h1>\n<p>Free fall is motion under the influence of gravity when fluid<br \/>\nresistance is neglected. Close to Earth, the acceleration due to gravity<br \/>\nis treated as constant, with magnitude g about 9.8 m s^-2. The IB guide<br \/>\nrestricts projectile calculations to a constant g close to Earth, and<br \/>\nthe same constant-acceleration treatment applies to vertical free-fall<br \/>\nproblems.<\/p>\n<p class=\"figure\"><img style=\"max-width: 100%!important; width: 100%!important; height: auto!important; display: block!important; margin: 0 auto!important; box-sizing: border-box!important;\" 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\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\" alt=\"With upward chosen positive, gravitational acceleration is negative throughout the motion. At maximum height the velocity is zero momentarily, but acceleration is still -g.\" \/><\/p>\n<p class=\"figure-caption\"><em>With upward chosen positive, gravitational acceleration is<br \/>\nnegative throughout the motion. At maximum height the velocity is zero<br \/>\nmomentarily, but acceleration is still -g.<\/em><\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/>\n<col style=\"width: 25%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Situation (upward is +)<\/strong><\/th>\n<th><strong>Initial\/instantaneous velocity<\/strong><\/th>\n<th><strong>Acceleration<\/strong><\/th>\n<th><strong>Interpretation<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Dropped from rest<\/td>\n<td>u = 0<\/td>\n<td>a = -g<\/td>\n<td>Speed increases downward.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Thrown upward<\/td>\n<td>u &gt; 0<\/td>\n<td>a = -g<\/td>\n<td>Velocity decreases to zero as the body rises.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>At maximum height<\/td>\n<td>v = 0<\/td>\n<td>a = -g<\/td>\n<td>The body is momentarily at rest, but gravity still acts.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Falling downward<\/td>\n<td>v &lt; 0<\/td>\n<td>a = -g<\/td>\n<td>Magnitude of the downward velocity increases.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"symmetry-when-resistance-is-negligible\">Symmetry when resistance<br \/>\nis negligible<\/h2>\n<p>For a body that returns to the same vertical level from which it was<br \/>\nlaunched, the upward and downward parts are symmetric in the ideal<br \/>\nmodel. The time to rise to maximum height equals the time to return from<br \/>\nthat height to the launch level. The speed on return has the same<br \/>\nmagnitude as the launch speed but the opposite direction. These<br \/>\nstatements cease to be exact when fluid resistance is significant.<\/p>\n<h2 id=\"graphical-view-of-a-vertical-throw\">Graphical view of a vertical<br \/>\nthrow<\/h2>\n<p>With upward positive, the velocity-time graph is a straight line of<br \/>\ngradient -g. It crosses v = 0 at the maximum height. The<br \/>\ndisplacement-time graph is a downward-opening parabola; its gradient<br \/>\ndecreases to zero at the top and becomes negative during descent. The<br \/>\nacceleration-time graph is a constant horizontal line at -g.<\/p>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Sign convention.<\/strong> Choosing downward as positive is<br \/>\nequally valid. Then a = +g. What matters is consistency across u, v, a<br \/>\nand s. Most vertical-motion errors are sign errors rather than failures<br \/>\nto choose the correct kinematic equation.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<h2 id=\"typical-vertical-motion-procedure\">Typical vertical-motion<br \/>\nprocedure<\/h2>\n<p><strong>1.<\/strong> Sketch the vertical line of motion and mark the<br \/>\nchosen positive direction.<\/p>\n<p><strong>2.<\/strong> Identify the start and end of the interval being<br \/>\nanalysed; displacement is final position minus initial position.<\/p>\n<p><strong>3.<\/strong> Use v = 0 only at the highest point, not a =<br \/>\n0.<\/p>\n<p><strong>4.<\/strong> Apply one of the four constant-acceleration<br \/>\nequations using a = \u00b1g.<\/p>\n<p><strong>5.<\/strong> If the motion is split into stages, use the final<br \/>\nvelocity of one stage as the initial velocity of the next.<\/p>\n<p class=\"source-note\">Source basis: Cambridge free-fall examples; Hodder A.1; Oxford A.1;<br \/>\nPearson A.1; IB Guide A.1 guidance.<\/p>\n<h1 id=\"projectile-motion-two-independent-components\">7. Projectile<br \/>\nmotion: two independent components<\/h1>\n<p>A projectile is a body that has been launched and then moves under<br \/>\ngravity, with fluid resistance either neglected or treated<br \/>\nqualitatively. The essential modelling idea is that horizontal and<br \/>\nvertical motions can be treated independently and then recombined.<br \/>\nOxford explicitly describes this independence, and all coursebooks use<br \/>\nthe same component method.<\/p>\n<p class=\"figure\"><img style=\"max-width: 100%!important; width: 100%!important; height: auto!important; display: block!important; margin: 0 auto!important; box-sizing: border-box!important;\" 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\" alt=\"Resolving the launch velocity into perpendicular components. With no fluid resistance, horizontal acceleration is zero while vertical acceleration is -g.\" \/><\/p>\n<p class=\"figure-caption\"><em>Resolving the launch velocity into perpendicular components. With<br \/>\nno fluid resistance, horizontal acceleration is zero while vertical<br \/>\nacceleration is -g.<\/em><\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Horizontal motion<\/strong><\/th>\n<th><strong>Vertical motion<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>u_x = u cos \u03b8<\/td>\n<td>u_y = u sin \u03b8<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>a_x = 0<\/td>\n<td>a_y = -g (if upward is positive)<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>v_x = u_x = constant<\/td>\n<td>v_y = u_y &#8211; gt<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>x = u_x t<\/td>\n<td>y = u_y t &#8211; 1\/2 gt\u00b2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"what-is-common-to-both-components\">What is common to both<br \/>\ncomponents?<\/h2>\n<ul>\n<li>The same elapsed time t applies to the horizontal and vertical<br \/>\nmotions.<\/li>\n<li>The resultant velocity is obtained by vector addition of v_x and<br \/>\nv_y and is tangent to the trajectory.<\/li>\n<li>At the highest point, only the vertical component of velocity is<br \/>\nzero. The horizontal component remains non-zero if the projectile was<br \/>\nlaunched with horizontal motion.<\/li>\n<li>Gravity changes the vertical velocity only in the no-resistance<br \/>\nmodel; it does not alter the horizontal component.<\/li>\n<\/ul>\n<h2 id=\"why-the-trajectory-is-parabolic\">Why the trajectory is<br \/>\nparabolic<\/h2>\n<p>Without resistance, horizontal displacement is proportional to time<br \/>\nwhile vertical displacement contains a t\u00b2 term. Eliminating time<br \/>\ntherefore produces a quadratic relation between vertical and horizontal<br \/>\nposition, which corresponds to a parabola. The IB guide requires<br \/>\nstudents to know that the path is parabolic but specifically states that<br \/>\nthe equation of the trajectory is not required.<\/p>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>IB boundary.<\/strong> Quantitative projectile calculations<br \/>\nare restricted to situations where fluid resistance is absent or can be<br \/>\nneglected. Students must be familiar with launches horizontally, above<br \/>\nthe horizontal, and below the horizontal.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<p class=\"source-note\">Source basis: IB Guide A.1 pp. 33-34; Oxford Fig. 21 and projectile<br \/>\nanalysis; Cambridge Ch. 1.4; Hodder and Pearson A.1.<\/p>\n<h1 id=\"solving-projectile-problems\">8. Solving projectile problems<\/h1>\n<p>The same procedure works for all required launch types. The main<br \/>\ndifference is the initial vertical component and the vertical<br \/>\ndisplacement to the final point.<\/p>\n<p class=\"figure\"><img style=\"max-width: 100%!important; width: 100%!important; height: auto!important; display: block!important; margin: 0 auto!important; box-sizing: border-box!important;\" 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alt=\"Three required launch situations: horizontal, above the horizontal, and below the horizontal. The component method is the same in each case.\" \/><\/p>\n<p class=\"figure-caption\"><em>Three required launch situations: horizontal, above the<br \/>\nhorizontal, and below the horizontal. The component method is the same<br \/>\nin each case.<\/em><\/p>\n<h2 id=\"general-method\">General method<\/h2>\n<p><strong>1.<\/strong> Draw x-y axes and choose signs, normally +x in<br \/>\nthe direction of launch and +y upward.<\/p>\n<p><strong>2.<\/strong> Resolve the initial velocity: u_x = u cos \u03b8 and<br \/>\nu_y = u sin \u03b8. If the launch is below the horizontal, u_y is negative<br \/>\nwhen +y is upward.<\/p>\n<p><strong>3.<\/strong> Write separate horizontal and vertical data sets.<br \/>\nHorizontal acceleration is zero; vertical acceleration is -g.<\/p>\n<p><strong>4.<\/strong> Use one component to determine the shared time,<br \/>\nthen substitute that time into the other component.<\/p>\n<p><strong>5.<\/strong> If final velocity is required, find v_x and v_y<br \/>\nseparately, then recombine them to obtain magnitude and direction.<\/p>\n<h2 id=\"useful-same-height-results\">Useful same-height results<\/h2>\n<p>For a projectile launched at speed u and angle \u03b8 and returning to the<br \/>\nsame vertical height, the component method gives the following<br \/>\nconvenient results. They are consequences of the required kinematic<br \/>\nmethod rather than separate principles.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Quantity<\/strong><\/th>\n<th><strong>Result<\/strong><\/th>\n<th><strong>Reason<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Time to maximum height<\/td>\n<td>T = u sin \u03b8 \/ g<\/td>\n<td>Set v_y = 0 in v_y = u_y &#8211; gt.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Maximum height<\/td>\n<td>H = u\u00b2 sin\u00b2\u03b8 \/ (2g)<\/td>\n<td>Use v_y\u00b2 = u_y\u00b2 + 2a_yH with v_y = 0.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Total time of flight<\/td>\n<td>2u sin \u03b8 \/ g<\/td>\n<td>Same-height symmetry.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Range<\/td>\n<td>R = u\u00b2 sin(2\u03b8) \/ g<\/td>\n<td>Horizontal speed multiplied by total flight time.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Range and launch angle.<\/strong> For equal launch and<br \/>\nlanding heights in the ideal model, the range expression is proportional<br \/>\nto sin(2\u03b8). Pearson notes that the maximum range therefore occurs at 45\u00b0<br \/>\nfor a fixed launch speed. This conclusion is specific to the<br \/>\nno-resistance, same-height model.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<h2 id=\"common-projectile-errors\">Common projectile errors<\/h2>\n<ul>\n<li>Using the total launch speed u in both directions instead of<br \/>\nresolving it into u cos \u03b8 and u sin \u03b8.<\/li>\n<li>Assuming the whole velocity is zero at maximum height; only v_y<br \/>\nis zero.<\/li>\n<li>Putting g into the horizontal equations when resistance is<br \/>\nneglected.<\/li>\n<li>Using same-height symmetry when the projectile lands at a<br \/>\ndifferent vertical level.<\/li>\n<li>Recombining velocity components incorrectly or omitting the<br \/>\ndirection of the final velocity.<\/li>\n<\/ul>\n<p class=\"source-note\">Source basis: Pearson A.1 projectile equations; Oxford projectile<br \/>\nanalysis; Cambridge Ch. 1.4; Hodder A.1; IB Guide guidance.<\/p>\n<h2 id=\"worked-source-example-launch-at-20-m-s-1-and-30\">Worked source<br \/>\nexample: launch at 20 m s^-1 and 30\u00b0<\/h2>\n<p>Cambridge and Pearson both use a projectile launched at 20 m s^-1 at<br \/>\n30\u00b0 to illustrate the component method. With resistance neglected and g<br \/>\ntaken close to 9.8 m s^-2, the initial components are u_x = 20 cos30\u00b0 \u2248<br \/>\n17.3 m s^-1 and u_y = 20 sin30\u00b0 = 10.0 m s^-1. At maximum height v_y =<br \/>\n0, so the time to rise is about 10.0\/9.8 = 1.02 s. The maximum height is<br \/>\nabout 5.1 m. Returning to the launch level takes twice the rise time,<br \/>\nabout 2.04 s, while the horizontal speed remains 17.3 m s^-1. The range<br \/>\nis therefore about 35 m.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Stage<\/strong><\/th>\n<th><strong>Horizontal component<\/strong><\/th>\n<th><strong>Vertical component<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Launch<\/td>\n<td>17.3 m s^-1<\/td>\n<td>+10.0 m s^-1<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Maximum height<\/td>\n<td>17.3 m s^-1<\/td>\n<td>0<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Return to launch height<\/td>\n<td>17.3 m s^-1<\/td>\n<td>-10.0 m s^-1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>The example shows three important ideas at once: horizontal and<br \/>\nvertical motions share the same time but have different accelerations;<br \/>\nthe projectile is still moving at the top because v_x is not zero; and<br \/>\nthe equal-magnitude upward\/downward vertical speeds follow from the<br \/>\nsymmetry of the ideal model. If the landing height were different, the<br \/>\nsame-height time and range shortcuts would no longer apply.<\/p>\n<p class=\"source-note\">Source basis: Cambridge Ch. 1.4 example\/figure and Pearson A.1<br \/>\nprojectile treatment.<\/p>\n<h1 id=\"fluid-resistance-and-terminal-speed\">9. Fluid resistance and<br \/>\nterminal speed<\/h1>\n<p>Real bodies moving through a gas or liquid experience fluid<br \/>\nresistance. The resistance acts opposite to the instantaneous velocity<br \/>\nand generally increases as speed increases. This makes acceleration<br \/>\nnon-uniform, so the constant-acceleration equations cannot normally be<br \/>\napplied to the whole drag-affected motion.<\/p>\n<p class=\"figure\"><img style=\"max-width: 100%!important; width: 100%!important; height: auto!important; display: block!important; margin: 0 auto!important; box-sizing: border-box!important;\" 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alt=\"Qualitative behaviour of a falling body with resistance: speed approaches a constant terminal value while acceleration falls toward zero.\" \/><\/p>\n<p class=\"figure-caption\"><em>Qualitative behaviour of a falling body with resistance: speed<br \/>\napproaches a constant terminal value while acceleration falls toward<br \/>\nzero.<\/em><\/p>\n<h2 id=\"development-of-terminal-speed-in-a-vertical-fall\">Development of<br \/>\nterminal speed in a vertical fall<\/h2>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Stage<\/strong><\/th>\n<th><strong>Fluid resistance<\/strong><\/th>\n<th><strong>Resultant acceleration \/ motion<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Immediately after release<\/td>\n<td>Very small because speed is near zero.<\/td>\n<td>Acceleration is approximately g downward.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>As speed increases<\/td>\n<td>Resistance increases upward, opposite to the fall.<\/td>\n<td>Resultant downward acceleration becomes smaller.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Terminal speed<\/td>\n<td>Upward resistance balances the downward weight (and, in a more<br \/>\ncomplete description, any other vertical fluid forces).<\/td>\n<td>Resultant force and acceleration are zero; speed remains<br \/>\nconstant.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Oxford shows the corresponding graph changes: with no resistance the<br \/>\nspeed increases linearly and acceleration remains constant; with<br \/>\nresistance the speed curve gradually flattens toward terminal speed,<br \/>\nacceleration decreases toward zero, and the distance-time graph becomes<br \/>\nless strongly curved. Hodder likewise contrasts a constant-g<br \/>\nvelocity-time line with a curve that approaches a horizontal<br \/>\nterminal-speed line.<\/p>\n<h2 id=\"effect-of-resistance-on-a-projectile\">Effect of resistance on a<br \/>\nprojectile<\/h2>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/>\n<col style=\"width: 33%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Feature<\/strong><\/th>\n<th><strong>Ideal no-resistance model<\/strong><\/th>\n<th><strong>With fluid resistance<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Horizontal velocity<\/td>\n<td>constant<\/td>\n<td>decreases during the flight<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Vertical acceleration while rising<\/td>\n<td>g downward<\/td>\n<td>downward effect is larger because drag also acts downward<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Vertical acceleration while falling<\/td>\n<td>g downward<\/td>\n<td>magnitude is reduced because drag acts upward<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Trajectory<\/td>\n<td>parabolic and, for equal heights, symmetric<\/td>\n<td>not parabolic and not symmetric<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Range \/ maximum height<\/td>\n<td>larger for the same launch conditions<\/td>\n<td>usually reduced in the standard drag-only model<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Use of SUVAT over whole flight<\/td>\n<td>valid separately in x and y<\/td>\n<td>not valid because acceleration changes<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Nuance from Pearson.<\/strong> Air effects do not always<br \/>\nsimply reduce range: the Pearson text notes that lift associated with<br \/>\nspin and surface shape can make a golf ball travel farther than the<br \/>\nsimplest drag-only comparison would predict. For the A.1 syllabus,<br \/>\nhowever, the required treatment of fluid resistance is qualitative.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<p class=\"source-note\">Source basis: Cambridge pp. 25-26; Hodder A.1 pp. 26-27; Oxford A.1<br \/>\npp. 36-39; Pearson A.1; IB Guide A.1.<\/p>\n<h2 id=\"modelling-limits-and-what-the-ib-expects\">Modelling limits and<br \/>\nwhat the IB expects<\/h2>\n<p>The five textbooks go slightly beyond the formal syllabus in<br \/>\ndifferent ways, but the IB guide sets the required depth. Cambridge, for<br \/>\nexample, illustrates resistance with simple proportional models such as<br \/>\nF proportional to v at lower speeds and F proportional to v\u00b2 at higher<br \/>\nspeeds, and shows how a terminal value follows when resistance balances<br \/>\nweight. Oxford uses computer-generated curves to show how acceleration,<br \/>\nspeed and distance evolve when resistance depends on speed. These models<br \/>\nhelp explain the shape of the graphs, but A.1 assessment requires only a<br \/>\nqualitative treatment of fluid resistance.<\/p>\n<p>This distinction matters when solving questions. If a problem merely<br \/>\nstates that air resistance is significant, you should not assume<br \/>\nconstant acceleration or invent a drag equation. Instead, explain how<br \/>\nthe resistance direction changes with the velocity, how its magnitude<br \/>\ngrows with speed, and what that implies for acceleration, trajectory and<br \/>\nterminal behaviour. Quantitative projectile calculations in A.1 are<br \/>\nrestricted to the no-resistance model.<\/p>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Time of flight.<\/strong> In the drag-only projectile example<br \/>\ndiscussed by Oxford, the time of flight is reduced; in vertical falling<br \/>\nthrough a fixed distance, resistance increases the fall time. The safe<br \/>\nsyllabus-level statement is therefore that resistance alters the time of<br \/>\nflight, and the direction of that change depends on the motion being<br \/>\nconsidered.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<p class=\"source-note\">Source basis: IB Guide A.1 guidance; Cambridge resistance model;<br \/>\nOxford modelling discussion and worked example; Hodder and Pearson<br \/>\nqualitative treatment.<\/p>\n<h1 id=\"a.1-synthesis-what-you-must-be-able-to-do\">10. A.1 synthesis:<br \/>\nwhat you must be able to do<\/h1>\n<p>The IB guide frames A.1 as the ability to describe motion, predict<br \/>\nposition in space and time, and apply one- and two-dimensional analysis<br \/>\nto real situations. The following checklist condenses the required<br \/>\nknowledge and the problem-solving habits emphasized across the five<br \/>\ntextbooks.<\/p>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Area<\/strong><\/th>\n<th><strong>Minimum mastery<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Describe motion<\/td>\n<td>Distinguish position, distance and displacement; distinguish speed<br \/>\nand velocity; identify scalar and vector quantities; use a consistent<br \/>\nreference direction.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Use rates of change<\/td>\n<td>Calculate average speed\/velocity\/acceleration and determine<br \/>\ninstantaneous velocity or acceleration from tangent gradients.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Analyse graphs<\/td>\n<td>Interpret shape, slope, intercepts and turning points; use the area<br \/>\nunder v-t for displacement and under a-t for change in velocity.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Uniform acceleration<\/td>\n<td>Choose and use the four kinematic equations only when acceleration<br \/>\nis constant; connect them to the straight-line v-t graph.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Free fall<\/td>\n<td>Use constant g near Earth with correct sign; know that v = 0 but a \u2260<br \/>\n0 at the highest point.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Projectiles<\/td>\n<td>Resolve initial velocity into x and y components, use the same time<br \/>\nin both, and recombine final vector components.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Fluid resistance<\/td>\n<td>Explain why acceleration changes, why terminal speed develops, and<br \/>\nhow trajectory, range, velocity and time of flight are altered<br \/>\nqualitatively.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"essential-equations-at-a-glance\">Essential equations at a<br \/>\nglance<\/h2>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Purpose<\/strong><\/th>\n<th><strong>Equation<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>average velocity<\/td>\n<td>v_avg = \u0394s \/ \u0394t<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>average acceleration<\/td>\n<td>a_avg = \u0394v \/ \u0394t<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>uniform acceleration<\/td>\n<td>v = u + at<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>uniform acceleration<\/td>\n<td>s = (u + v)t \/ 2<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>uniform acceleration<\/td>\n<td>s = ut + 1\/2 at\u00b2<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>uniform acceleration<\/td>\n<td>v\u00b2 = u\u00b2 + 2as<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>projectile components<\/td>\n<td>u_x = u cos \u03b8, u_y = u sin \u03b8<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>near-Earth vertical motion<\/td>\n<td>a = \u00b1g, with g \u2248 9.8 m s^-2<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"high-value-checks-before-finalising-an-answer\">High-value checks<br \/>\nbefore finalising an answer<\/h2>\n<ul>\n<li>Have I identified whether the question needs distance or<br \/>\ndisplacement, speed or velocity?<\/li>\n<li>Have I chosen a positive direction and used it<br \/>\nconsistently?<\/li>\n<li>Is acceleration constant over the interval before I use a<br \/>\nkinematic equation?<\/li>\n<li>On a graph, am I using the correct gradient or area relationship,<br \/>\nwith the correct sign?<\/li>\n<li>For a projectile, have I kept horizontal and vertical quantities<br \/>\nseparate until the final recombination?<\/li>\n<li>At a maximum height, have I set only the vertical velocity to<br \/>\nzero rather than the acceleration?<\/li>\n<li>If resistance is present, have I stopped treating the motion as<br \/>\nuniformly accelerated unless the problem explicitly provides a<br \/>\nconstant-acceleration interval?<\/li>\n<\/ul>\n<h2 id=\"linking-ideas-highlighted-by-the-ib-guide\">Linking ideas<br \/>\nhighlighted by the IB guide<\/h2>\n<p>A.1 is intended to connect forward to other parts of the course. The<br \/>\nguide asks students to relate linear equations of motion to rotational<br \/>\nmotion, compare gravitational and electric-field motion, consider when<br \/>\nconservation of energy can replace kinematic equations in projectile<br \/>\nproblems, connect kinematics to Newton\u2019s laws, and use graphical<br \/>\nanalysis to determine other physical quantities. These links reinforce<br \/>\nthat kinematics is a modelling language used throughout physics, not an<br \/>\nisolated collection of formulas.<\/p>\n<h2 id=\"common-misconceptions-and-corrections\">Common misconceptions and<br \/>\ncorrections<\/h2>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Misconception<\/strong><\/th>\n<th><strong>Correction \/ diagnostic check<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Distance and displacement are interchangeable.<\/td>\n<td>Distance follows the path; displacement is the vector change from<br \/>\ninitial to final position. Ask whether direction matters.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Negative acceleration always means slowing down.<\/td>\n<td>Compare the signs of v and a. Same sign means speed is increasing;<br \/>\nopposite signs mean speed is decreasing.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>At the top of a vertical flight, acceleration is zero.<\/td>\n<td>Only the vertical velocity is zero. The acceleration remains g<br \/>\ndownward.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>The area under every motion graph gives distance.<\/td>\n<td>Area under v-t gives signed displacement; area under speed-t gives<br \/>\ndistance; area under a-t gives change in velocity.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>All projectile formulas can be used in every problem.<\/td>\n<td>Special same-height results require equal launch\/landing heights and<br \/>\nnegligible resistance. Otherwise use the component SUVAT method.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>If air resistance acts, use a smaller constant value of g.<\/td>\n<td>Resistance makes the resultant acceleration change with speed and<br \/>\ndirection. Do not replace g by a fixed reduced value over the whole<br \/>\nmotion.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>At maximum height a projectile is at rest.<\/td>\n<td>Only v_y is zero. Unless the launch was purely vertical, v_x remains<br \/>\nnon-zero.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 id=\"a-disciplined-a.1-problem-solving-workflow\">A disciplined A.1<br \/>\nproblem-solving workflow<\/h2>\n<p>Across the coursebooks, successful solutions follow the same pattern<br \/>\neven when the wording differs. First translate the physical description<br \/>\ninto a model; then choose the mathematics that matches that model. This<br \/>\nprevents the most common mistake in kinematics: selecting an equation<br \/>\nbefore deciding what the signs, directions and assumptions mean.<\/p>\n<p><strong>1.<\/strong> Represent the situation: sketch the path or<br \/>\ngraph, mark initial and final points, and define the coordinate<br \/>\naxes.<\/p>\n<p><strong>2.<\/strong> Classify the motion: one-dimensional or<br \/>\ntwo-dimensional; constant or non-uniform acceleration; resistance<br \/>\nnegligible or significant.<\/p>\n<p><strong>3.<\/strong> Identify the target quantity and its type: scalar<br \/>\nor vector. If it is a vector, decide how direction will be reported.<\/p>\n<p><strong>4.<\/strong> Choose the relationship: definition, graph<br \/>\ngradient\/area, constant-acceleration equation, or separate projectile<br \/>\ncomponents.<\/p>\n<p><strong>5.<\/strong> Calculate with consistent units, then interpret<br \/>\nthe sign and direction rather than reporting a bare number.<\/p>\n<p><strong>6.<\/strong> Check the result against the physical picture:<br \/>\nshould the body be speeding up or slowing down, above or below the<br \/>\nstart, moving left or right?<\/p>\n<p><strong>7.<\/strong> State the modelling assumption when it matters,<br \/>\nespecially constant acceleration, constant g near Earth, and negligible<br \/>\nresistance in quantitative projectile work.<\/p>\n<h2 id=\"using-the-ib-data-booklet-and-graph-skills\">Using the IB data<br \/>\nbooklet and graph skills<\/h2>\n<p>The four constant-acceleration equations are provided in the Physics<br \/>\ndata booklet, so A.1 is not primarily a test of memorization. The skill<br \/>\nis to recognize when each equation applies and to combine it with<br \/>\ncorrect vector signs and graph interpretation. The IB skills framework<br \/>\nalso makes graph construction and interpretation assessable: students<br \/>\nmay need to obtain a gradient, estimate an area, identify a turning<br \/>\npoint, compare uniform with non-uniform acceleration, or infer a<br \/>\nphysical quantity from a graph. A complete A.1 revision should therefore<br \/>\npractise both algebraic and graphical representations of the same<br \/>\nmotion.<\/p>\n<h2 id=\"precise-terminology-to-retain\">Precise terminology to<br \/>\nretain<\/h2>\n<table class=\"data-table\">\n<colgroup>\n<col style=\"width: 50%;\" \/>\n<col style=\"width: 50%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Term<\/strong><\/th>\n<th><strong>Use it to mean&#8230;<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr class=\"odd\">\n<td>Reference point<\/td>\n<td>The chosen origin relative to which position is measured.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Trajectory<\/td>\n<td>The path followed by a projectile.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Range<\/td>\n<td>The horizontal distance travelled by a projectile before the stated<br \/>\nimpact point.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Uniform acceleration<\/td>\n<td>Acceleration that remains constant with time.<\/td>\n<\/tr>\n<tr class=\"odd\">\n<td>Non-uniform acceleration<\/td>\n<td>Acceleration whose magnitude and\/or direction changes with<br \/>\ntime.<\/td>\n<\/tr>\n<tr class=\"even\">\n<td>Terminal speed<\/td>\n<td>A constant speed reached when the resultant force becomes zero<br \/>\nbecause resistive effects balance the driving force in the stated<br \/>\nsituation.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Final retrieval check.<\/strong> If you can move fluently<br \/>\namong words, diagrams, equations and graphs for the same motion &#8211; and<br \/>\ncan state when the ideal model breaks down because of fluid resistance &#8211;<br \/>\nyou have covered the full formal content of A.1.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<table class=\"callout\">\n<colgroup>\n<col style=\"width: 100%;\" \/> <\/colgroup>\n<thead>\n<tr class=\"header\">\n<th><strong>Final perspective.<\/strong> A strong A.1 solution begins<br \/>\nwith a model: define the coordinate system, identify whether<br \/>\nacceleration is constant, choose a graphical or algebraic<br \/>\nrepresentation, and only then calculate. The equations are most reliable<br \/>\nwhen the assumptions behind them are made explicit.<\/th>\n<\/tr>\n<\/thead>\n<\/table>\n<p><em>This revision is synthesized only from the six project sources:<br \/>\nthe formal IB Physics Guide (first assessment 2025) and the five<br \/>\nuploaded 2023 IB Physics coursebooks.<\/em><\/p>\n<\/div>\n<div class=\"footer\">IB Physics A.1 Kinematics summary \u2022 web edition converted from the approved project document.<\/div>\n<\/article>\n<\/div>\n<p>[\/vc_column_text][\/vc_tta_section][vc_tta_section title=&#8221;Section 2&#8243; tab_id=&#8221;1786541383883-352c696d-1033&#8243;][vc_column_text css=&#8221;&#8221;]I am text block. Click edit button to change this text. Lorem ipsum dolor sit amet, consectetur adipiscing elit. 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