<h2>Summary of Graphs</h2>
<p>The relation between graphs of position, velocity and acceleration as functions of time is summarised in the next set of figures.</p>
<h3>Position-time, Velocity-time and Acceleration-time Graphs.</h3>
<table style="width: 813px;" summary="              ">
<tbody>
<tr>
<td style="width: 140px;">
<p>Stationary object</p>
</td>
<td style="width: 203px;"><img alt="4bd0b7da88059d6005fdb89251b35960.png" src="https://data.ulearngo.com/assets/36dc2a32-850d-4fb2-b9f1-6efe21f04a4a"/></td>
<td style="width: 234px;"><img alt="f46f37c799d173996f8ad9eaa67a1124.png" src="https://data.ulearngo.com/assets/37c9e77b-da92-42d7-b6a0-de439eaae154"/></td>
<td style="width: 220px;"><img alt="64e1adf9aad4e019e05af616b211f2ad.png" src="https://data.ulearngo.com/assets/83d2eb27-d6de-4700-99c7-18efe743bca5"/></td>
</tr>
<tr>
<td style="width: 140px;">
<p>Uniform motion</p>
</td>
<td style="width: 203px;"><img alt="26bb620bf87eb7e90e5f1d9333c04046.png" src="https://data.ulearngo.com/assets/eee63ff9-7398-468b-9e88-4e125d6535f1"/></td>
<td style="width: 234px;"><img alt="d91614822851eb66878124bc530bf2aa.png" src="https://data.ulearngo.com/assets/c2979b57-0fce-4d26-9637-02d0f12b66fb"/></td>
<td style="width: 220px;"><img alt="64e1adf9aad4e019e05af616b211f2ad.png" src="https://data.ulearngo.com/assets/8360207b-9741-43d2-a572-24515d14e12e"/></td>
</tr>
<tr>
<td style="width: 140px;">
<p>Motion with constant acceleration</p>
</td>
<td style="width: 203px;"><img alt="a427bd6ec0ce55772794c38f5b8c8b24.png" src="https://data.ulearngo.com/assets/9dfa3257-1b14-4a54-8b27-2fb6a8994463"/></td>
<td style="width: 234px;"><img alt="861faf11b50fe238fc91d629771e7c2e.png" src="https://data.ulearngo.com/assets/143a7bda-e952-4956-afd3-99a1c72a24d3"/></td>
<td style="width: 220px;"><img alt="8a1178989876a40a310223cddea3719c.png" src="https://data.ulearngo.com/assets/29269c8e-de53-40c9-acdb-46a5ea8b9adc"/></td>
</tr>
</tbody>
</table>
<p>You will also often be required to draw graphs based on a description of the motion in words or from a diagram. Remember that these are just different methods of presenting the same information. If you keep in mind the general shapes of the graphs for the different types of motion, there should not be any difficulty with explaining what is happening.</p>
<div class="ns-school-defn2">
<h3>Tip:</h3>
<p>The description of the motion represented by a graph should include the following (where possible):</p>
<ol>
<li>
<p>whether the object is moving in the positive or negative direction</p>
</li>
<li>
<p>whether the object is at rest, moving at constant velocity or moving at constant positive acceleration (speeding up) or constant negative acceleration (slowing down)</p>
</li>
</ol>
</div>
<section class="activity formalexperiment">
<div class="ns-school-emp">
<h2>Experiment: Position Versus Time Using a Ticker Timer</h2>
<div class="ns-school-defn">
<section class="activity">
<h3>Aim</h3>
<p>To measure the position and time during motion and to use that data to plot a “Position vs. Time” graph.</p>
</section>
<div class="wp-caption alignnone" style="width: 223px"><img alt="08373e4c84709598d4c8e7514a177d29.png" height="75" src="https://data.ulearngo.com/assets/e6ffe856-740b-45ec-a9f0-3a2cfe4cb495" width="223"/><p class="wp-caption-text">Motion with increasing velocity.</p></div>
<h3>Apparatus</h3>
<p>Trolley, ticker tape apparatus, tape, graph paper, ruler, ramp</p>
<div class="wp-caption alignnone" style="width: 311px"><img alt="09eeedd05b542722d8614f4f2cc4acd9.png" height="75" src="https://data.ulearngo.com/assets/e18f69ad-eb5d-4b92-9910-04f06cea15aa" width="311"/><p class="wp-caption-text">Motion at constant velocity</p></div>
<section class="activity">
<h3>Method</h3>
<ol>
<li>
<p>Work with a friend. Copy the table below into your workbook.</p>
</li>
<li>
<p>Attach a length of tape to the trolley.</p>
</li>
<li>
<p>Run the other end of the tape through the ticker timer.</p>
</li>
<li>
<p>Start the ticker timer going and roll the trolley down the ramp.</p>
</li>
<li>
<p>Repeat steps 1–3.</p>
</li>
<li>
<p>On each piece of tape, measure the distance between successive dots. Note these distances in the table below.</p>
</li>
<li>
<p>Use the frequency of the ticker timer to work out the time intervals between successive dots. Note these times in the table below,</p>
</li>
<li>
<p>Work out the average values for distance and time.</p>
</li>
<li>
<p>Use the average distance and average time values to plot a graph of “Distance vs. Time” <em>onto graph paper</em>. Stick the graph paper into your workbook. (Remember that “A vs. B” always means “\(y\) vs. \(x\)”).</p>
</li>
<li>
<p>Insert all axis labels and units onto your graph.</p>
</li>
<li>
<p>Draw the best straight line through your data points.</p>
</li>
</ol>
</section>
<section class="activity">
<h3>Results</h3>
<div>
<table>
<tbody>
<tr>
<td colspan="3">
<p>Distance (m)</p>
</td>
<td colspan="3">
<p>Time (s)</p>
</td>
</tr>
<tr>
<td>
<p>1</p>
</td>
<td>
<p>2</p>
</td>
<td>
<p>Ave.</p>
</td>
<td>
<p>1</p>
</td>
<td>
<p>2</p>
</td>
<td>
<p>Ave.</p>
</td>
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</tbody>
</table>
</div>
</section>
<section class="activity">
<h3>Discussion</h3>
<p>Describe the motion of the trolley down the ramp.</p>
</section>
</div>
</div>
</section>
<section class="activity"></section>
<section class="activity">
<p> </p>
</section>
<section></section>

1c4ddb66-ad36-4f81-90e7-4629f497d0b4

Summary of Graphs

Physics is a science discipline concerned with the nature and properties of matter and energy. Physics topics include mechanics, heat, light and radiation, sound, electricity, magnetism, the structure of atoms, and so on.

Physics

Learn about the basic principles of motion including reference frames, position, displacement, distance, speed, velocity, acceleration, stationary objects, graphs of motion, projectile motion, and equations of motion with practical examples and applications.


Summary of Graphs

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