A particle, moving in a straight line, decelerates uniformly, from a speed 5Ums−15U\text{ms}^{-1}5Ums−1, for 6 seconds which reduces its speed to 2Ums−12U\text{ms}^{-1}2Ums−1. It maintains this speed for a further 16 seconds before decelerating uniformly to rest in a further 2 seconds.
Sketch a velocity-time graph for this information.
Find an expression for each of the decelerations in terms of U.
Given the total distance is 220m, find the value of U.
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.