A train accelerates from rest at station A to a velocity of 32 m s-1. It maintains this speed for 72 seconds, until it decelerates uniformly to station B. The distance between the two stations is 2944 m and the magnitudes of the acceleration and deceleration are equal.
Find:
the time it takes the train to accelerate from rest to 32 m s-1.
sketch a velocity-time graph for the motion of the train between station A and station B.
calculate the total journey time.
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.