A train accelerates from rest at station A to a velocity of 30 m s-1. It maintains this speed for 50 seconds, until it decelerates uniformly to station B. The total journey time is 90 seconds and the magnitudes of the acceleration and deceleration are equal.
Find:
show that the total time spent accelerating and decelerating is 40 seconds.
hence find the time it takes the train to accelerate from rest to 30 m s-1.
sketch a velocity-time graph for the motion of the train between station A and station B.
calculate the distance between the two stations.
36 exam-style questions on Edexcel A Level Maths 9.2 Velocity-Time Graphs. Each one has a worked solution and a mark scheme showing where the marks go.