A train moves along a straight horizontal track between stations A A\,A and BBB. It starts from rest and accelerates at 0.6 m s-2 for 40 s. It then travels at constant speed before decelerating at 0.4 m s-2 until it reaches BBB. The distance AB AB\,AB is 4 km.
Sketch a velocity-time graph for the journey, showing the maximum speed and the duration of the deceleration.
Find the total time taken for the journey. Give your answer to the nearest second.
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.