A train accelerates uniformly from rest at station A A\,A to a velocity of 32 m s−1^{-1}−1.
It maintains this velocity for 72 seconds, and then decelerates uniformly to rest at station BBB.
The total journey time is 112 seconds, and the magnitudes of the acceleration and the deceleration are equal.
Find the time taken by the train to accelerate from rest to 32 m s−1^{-1}−1.
Sketch a velocity-time graph for the motion of the train between A A\,A and BBB.
Find the distance between the two stations.
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.