A train travels along a straight horizontal track between two stations, A A\,A and BBB. Tom models the motion of the train. In the model, the train starts from rest at A A\,A and moves with constant acceleration 0.4 m s-2 for 70 s. The train then moves at constant velocity before it moves with a constant deceleration of 0.5 m s-2, coming to rest at BBB.
Sketch a velocity-time graph for the motion of the train according to the model.
The total distance between the two stations is 3360 m. Use the model to find the total time taken by the train to travel from A A\,A to BBB.
Suggest one improvement that could be made to the model of the motion of the train to make the model more realistic.
20 exam-style questions on Edexcel AS 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.