A train moves along a straight horizontal track between two stations, A and B. The train starts from rest and moves with acceleration of 0.6ms-2 for 40 seconds. The train moves at constant velocity before decelerating at a rate of 0.4ms-2 until it reaches B. The total distance between the two station is 4 km.
Sketch a velocity-time graph for the motion of the train between A and B.
Find the total time taken by the train to travel from A to B.
260 exam-style questions on OCR A Level Maths 3.2 Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Displacement-time and velocity-time graphs, 3.2.4 Constant acceleration formulae, 3.2.5 Constant acceleration in two dimensions (A-level only), 3.2.6 Non-uniform acceleration in one dimension (A-level only), 3.2.7 Non-uniform acceleration in two dimensions (A-level only), 3.2.8 Motion under gravity using vectors (A-level only), and 3.2.9 Projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.