A train accelerates from rest at station A to a velocity of 30 m s-1. It maintains this speed for 66 seconds, until it decelerates uniformly to station B. The total journey time is 114 seconds and the magnitudes of the acceleration and deceleration are equal.
Find:
the time it takes the train to accelerate from rest to 30 m s-1 and the distance between the two stations, using a sketch of a velocity-time graph for the motion of the train between station A and station B.
197 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.