ECZ 2023 · GCE Paper 1 — Travel Graphs

The following diagram is a speed-time graph of a car. The car starts from rest and accelerates uniformly at 3 m/s² for 4 seconds until it reaches a speed of v m/s. It then travels at this constant speed for 8 seconds. It finally comes to rest after t seconds. Find the value of t, if the speed at t = 14 is 4 m/s.

Verified working — step 1

The car is still moving at 14 s (4 m/s is not rest) - find the deceleration from the two known points, then extend the line down to zero speed.

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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