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.
265 exam-style questions on AQA A Level Maths 3.2 Q: Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Constant acceleration formulae, 3.2.4 Calculus in kinematics (A-level only), and 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.