<ol class="abc-list"><li><div class="list-item-paragraph">A car accelerates uniformly from rest until it reaches a speed of $30$ m/s in $20$ s.</div><div class="list-item-paragraph">Calculate the acceleration of the car.</div></li><li><div class="list-item-paragraph">The car continues to accelerate but at a slower rate for a further $30$ s until it reaches a speed of $40$ m/s. </div><div class="list-item-paragraph">Then the car begins to slow down with uniform retardation of $2.5$ m/s$^{2}$.</div><ol class="i-list"><li><div class="list-item-paragraph">Draw the speed-time graph for the first $50$ seconds of the journey.</div><div class="content-block list-item-image" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1767346033745-ocf5jbrasc8.png" alt="Sub-item image" class="aligncenter custom-width" style="max-width: min(250px, 100%); height: auto;" /></div></li><li><div class="list-item-paragraph">Calculate the distance it travels during the period from $t=20$ to $t=50$.</div></li><li><div class="list-item-paragraph">Calculate how long it would take for the car to come to rest.</div></li><li><div class="list-item-paragraph">On the diagram in the answer space below, sketch the acceleration-time graph of the car for the entire journey.</div><div class="list-item-paragraph">Indicate clearly the values on the vertical and horizontal axes.</div></li></ol><div class="list-item-after-content" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/public/question-images/pasted/1767346111987-01np3rk7a4h1.png" alt="After sub-items image" class="aligncenter custom-width" style="max-width: min(350px, 100%); height: auto;" /></div></li></ol>

A car accelerates uniformly from rest until it reaches a speed of $30$ m/s in $20$ s.

The car continues to accelerate but at a slower rate for a further $30$ s until it reaches a speed of $40$ m/s. 

Then the car begins to slow down with uniform retardation of $2.5$ m/s$^{2}$.

Kinematics Analysis: Motion of a Car via Speed-Time and Acceleration-Time Graphs

Kinematics Analysis: Motion of a Car via Speed-Time and Acceleration-Time Graphs

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