A goods train passes through a station at a steady speed of 10ms¯¹ at time t = 0. An express train is at rest at the station. The express train leaves the station with a uniform acceleration of 0.5ms¯² just as the goods train goes past. Both trains move in the same direction on straight, parallel tracks.
At which time t does the express train overtake the goods train?

Q: What topic does this question test?

This question tests Kinematics in A-Level Physics (syllabus code 9702). It is worth 1 mark.

Q: Which exam paper is this question from?

This question appeared in the Cambridge A-Level Physics Oct/Nov 2022 examination, Paper 1 Variant 2 (9702_w22_qp_12.pdf).

Question

A goods train passes through a station at a steady speed of 10ms¯¹ at time t = 0. An express train is at rest at the station. The express train leaves the station with a uniform acceleration of 0.5ms¯² just as the goods train goes past. Both trains move in the same direction on straight, parallel tracks.
At which time t does the express train overtake the goods train?

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The correct answer is D: 40 s.

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