A train accelerates uniformly from rest at station A to a velocity of 32 m s-1. It maintains this velocity for 72 seconds and then decelerates uniformly to rest at station B. The total journey time is 112 seconds, and the magnitudes of the acceleration and deceleration are equal.
Find the time taken for the train to accelerate from rest to 32 m s-1.
Sketch a velocity-time graph for the motion of the train between A and B.
Calculate the distance between the two stations.
8 exam-style questions on OCR A Level Maths 3.2.3 Displacement-time and velocity-time graphs. Each one has a worked solution and a mark scheme showing where the marks go.