A train starts from rest at station A and accelerates uniformly at 0.6 m s-2 for 40 seconds. It then moves at constant velocity before decelerating uniformly at 0.4 m s-2 until it comes to rest at station B. The distance between the stations is 4 km.
Sketch a velocity-time graph for the motion of the train. Mark on the graph the velocity reached after 40 seconds and the duration of the deceleration.
Determine the total time taken for the journey.
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.