May/June 2026 Paper 12

2026 · 40 questions · 40 parts · 40 marks

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7KinematicsHard1 mark
The diagram shows an arrangement to stop trains that are travelling too fast.
diagram of a train travelling left to right at speed 50 m s$^{-1}$ towards marker 1, then a marked distance along the track to marker 2, beyond which the maximum speed allowed is 10 m s$^{-1}$
Trains coming from the left travel at a speed of 50 m s. At marker 1, the driver must apply the brakes so that the train decelerates uniformly in order to pass marker 2 at no more than 10 m s. The train carries a detector that notes the times when the train passes each marker and will apply an emergency brake if the time between passing marker 1 and marker 2 is less than 20 s. How far from marker 2 should marker 1 be placed?