A train, moving with constant acceleration, passes through three points A, B and C, where AB=40mAB = 40\text{m}AB=40m and BC=60mBC = 60\text{m}BC=60m. The train passes through A with a speed of 10ms-1 and 6 seconds later passes through C.
Find the acceleration of the train.
Find the speed at which the train passes through B.
Find the time it takes for the train to move between B and C.
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.