A car starts from rest and accelerates at a constant rate to the speed of Vms−1V\text{ms}^{-1}Vms−1 in 6 seconds. The car maintains this speed for 50 seconds before decelerating to rest. The magnitude of the deceleration is 1.5 times this magnitude of the acceleration.
Show the total time taken for the journey is 60 seconds.
Sketch a velocity-time graph for this information.
Given the total distance is 1320m, find the value of V.
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.