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.
158 exam-style questions on OCR (MEI) A Level Maths 3.2 Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Position, displacement, distance and distance travelled, 3.2.3 Velocity, speed and acceleration distinctions, 3.2.4 Draw and interpret kinematics graphs, 3.2.5 Differentiate position and velocity (A-level only), 3.2.6 Integrate acceleration and velocity (A-level only), 3.2.7 When constant acceleration formulae apply, 3.2.8 Solve 1-D kinematics problems, 3.2.9 Language of kinematics in 2 dimensions (A-level only), 3.2.10 Extend 1-D techniques to 2-D using vectors (A-level only), 3.2.11 Cartesian equation of a path (A-level only), and 3.2.12 Vectors to solve kinematics problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.