ECZ 2019 · O-Level Paper 1 — Travel Graphs

The diagram below is the speed time graph of a car. The car starts from rest and accelerates uniformly at 2 m/s² for t seconds until it reaches a speed of 16 m/s. It then travels at 16 m/s for 40 seconds, after which it comes to rest in a further 10 seconds. Find the (c) speed of the car when t = 53 seconds.

Verified working — step 1

Locate t = 53 on the graph first: acceleration ends at 8 s, steady speed ends at 8 + 40 = 48 s, so 53 s is 5 seconds into the final slow-down.

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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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