A particle, moving in a straight line, decelerates uniformly, from a speed 6Ums−16U\text{ms}^{-1}6Ums−1, for 4 seconds which reduces its speed to 2Ums−12U\text{ms}^{-1}2Ums−1. It maintains this speed for a further 12 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 210m, find the value of U.
197 exam-style questions on Edexcel A Level Maths Constant Acceleration, covering 8.2 Modelling Assumptions, 8.3 Quantities and Units, 8.4 Working with Vectors, 9.1 Displacement-Time Graphs, 9.2 Velocity-Time Graphs, 9.3 Constant Acceleration Formulae 1, 9.4 Constant Acceleration Formulae 2, and 9.5 Vertical Motion Under Gravity. Each one has a worked solution and a mark scheme showing where the marks go.