A train moves along a straight horizontal track between two stations, A A\,A and BBB.
The train starts from rest at A A\,A and moves with constant acceleration 0.6 m s−2^{-2}−2 for 40 seconds.
The train then moves at a constant speed before decelerating at a constant rate of 0.4 m s−2^{-2}−2 until it reaches BBB.
The distance between the two stations is 4 km.
Sketch a velocity-time graph for the motion of the train between A A\,A and BBB.
Find the total time taken by the train to travel from A A\,A to BBB.
265 exam-style questions on AQA A Level Maths 3.2 Q: Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Constant acceleration formulae, 3.2.4 Calculus in kinematics (A-level only), and 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.