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Similar Question 1
<p>John is riding a bicycle at a constant cruising speed along a flat road. He slows down as he climbs a hill. At the top of the hill, he speeds up, back to his constant cruising speed on a flat road. He then accelerates down the hill. He comes to another hill and coasts to a stop as he starts to climb.</p><p><strong>(a)</strong> Sketch a possible graph to show John?s speed versus time, and another graph to show his distance travelled versus time.</p><p><strong>(b)</strong> Sketch a possible graph of John?s elevation (in relation to his starting point) versus time.</p>
Similar Question 2
<p>John is riding a bicycle at a constant cruising speed along a flat road. He slows down as he climbs a hill. At the top of the hill, he speeds up, back to his constant cruising speed on a flat road. He then accelerates down the hill. He comes to another hill and coasts to a stop as he starts to climb.</p><p><strong>(a)</strong> Sketch a possible graph to show John?s speed versus time, and another graph to show his distance travelled versus time.</p><p><strong>(b)</strong> Sketch a possible graph of John?s elevation (in relation to his starting point) versus time.</p>
Similar Question 3
<p>A newspaper carrier delivers papers on her bicycle. She bikes to the first neighbourhood at a rate of 10 km/h. She slows down at a constant rate over a period of7 s, to a speed of 5 km/h, so that she can deliver her papers. After travelling at this rate for 3 5, she sees one of her customers and decides to stop. She slows at a constant rate until she stops. It takes her 6 s to stop.</p><p><strong>a)</strong> What is the average rate of change in speed over the first 7 s?</p><p><strong>b)</strong> What is the average rate of change in speed from second 7 to 12 seconds.</p><p><strong>c)</strong> What is the instantaneous rate of change in speed at 12 s?</p>
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Learning Path
L1 Quick Intro to Factoring Trinomial with Leading a
L2 Introduction to Factoring ax^2+bx+c
L3 Factoring ax^2+bx+c, ex1
Now You Try
<p>A swimming pool is 50 m long. Kenny swims from one end of the A pool to the other end in 45 s. He rests for 10 s and then takes 55 s to swim back to his starting point.</p><p>What is Kenny&#39;s speed at time <code class='latex inline'>t =50</code>?</p>
<p>John is riding a bicycle at a constant cruising speed along a flat road. He slows down as he climbs a hill. At the top of the hill, he speeds up, back to his constant cruising speed on a flat road. He then accelerates down the hill. He comes to another hill and coasts to a stop as he starts to climb.</p><p><strong>(a)</strong> Sketch a possible graph to show John?s speed versus time, and another graph to show his distance travelled versus time.</p><p><strong>(b)</strong> Sketch a possible graph of John?s elevation (in relation to his starting point) versus time.</p>
<p>A swimming pool is <code class='latex inline'>50</code> m long. Kenny swims from one end of the <code class='latex inline'>A</code> pool to the other end in <code class='latex inline'>45</code> s. He rests for <code class='latex inline'>10</code> s and then takes <code class='latex inline'>55</code> s to swim back to his starting point.</p><p><strong>(a)</strong> Using the information given, what is the average speed for Kenny&#39;s first length of the pool?</p><p><strong>(b)</strong> What is the average speed for Kenny&#39;s second length of the pool?</p><p><strong>(c)</strong> If you were to graph Kenny&#39;s distance versus time for his first and second lengths of the pool, how would the two graphs compare? How is this related to Kenny&#39;s speed?</p>
<p>A newspaper carrier delivers papers on her bicycle. She bikes to the first neighbourhood at a rate of 10 km/h. She slows down at a constant rate over a period of7 s, to a speed of 5 km/h, so that she can deliver her papers. After travelling at this rate for 3 5, she sees one of her customers and decides to stop. She slows at a constant rate until she stops. It takes her 6 s to stop.</p><p><strong>a)</strong> What is the average rate of change in speed over the first 7 s?</p><p><strong>b)</strong> What is the average rate of change in speed from second 7 to 12 seconds.</p><p><strong>c)</strong> What is the instantaneous rate of change in speed at 12 s?</p>
<p>Accelerate or decelerate, she does so at a non constant rate at first slowly and then more quickly. The jockey begins by having the horse trot around the track at a constant rate. She then increases the rate to a canter and allows the horse to canter at a constant rate for several laps. Next, she slowly begins to decrease the speed of the horse to a trot and then to a walk. To finish, the jockey walks the horse around the track once. What does a speed versus time graph look like.</p>
<p>Jan stands <code class='latex inline'>5</code> m away from a motion sensor and then walks <code class='latex inline'>4</code> m toward it at a constant rate for <code class='latex inline'>5</code> s. Then she walks <code class='latex inline'>2</code> m away from the location where she changed direction at a variable rate for the next <code class='latex inline'>3</code> s. She stops and waits at this location for <code class='latex inline'>2</code> s. Draw a distance versus time graph to show Jan&#39;s motion sensor walk. Show your work.</p>
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