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.
Show that the total distance travelled is 55U 55U\,55U metres.
Given the total distance is 165m, 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.