A train accelerates from rest at station A to a velocity of 32ms-1. It maintains this speed for k k\,k seconds, until it decelerates uniformly to station B. The total journey time is 112 seconds and the magnitudes of the acceleration and deceleration are equal.
Find, in terms of kkk, the time it takes the train to accelerate from rest to 32ms-1.
Sketch a velocity-time graph for the motion of the train between station A and station B.
Calculate, in terms of kkk, the distance between the two stations.
194 exam-style questions on Edexcel A Level Maths Constant Acceleration, covering 8.2 Modelling Assumptions, 8.3 Quantities and Units, 8.4 Working with Vectors, 9.1 Displacement-Time Graphs, 9.2 Velocity-Time Graphs, 9.3 Constant Acceleration Formulae 1, 9.4 Constant Acceleration Formulae 2, and 9.5 Vertical Motion Under Gravity. Each one has a worked solution and a mark scheme showing where the marks go.