A particle moving in a straight line with speed 5U m s−15U\text{ m s}^{-1}5U m s−1 decelerates uniformly for 6 seconds, reducing its speed to 2U m s−12U\text{ m s}^{-1}2U m s−1. It maintains this speed for 16 seconds and then decelerates uniformly to rest in a further 2 seconds.
Sketch a velocity-time graph for the motion.
Find each deceleration in terms of UUU.
Given that the total distance travelled is 220 m, determine the value of UUU.
260 exam-style questions on OCR A Level Maths 3.2 Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Displacement-time and velocity-time graphs, 3.2.4 Constant acceleration formulae, 3.2.5 Constant acceleration in two dimensions (A-level only), 3.2.6 Non-uniform acceleration in one dimension (A-level only), 3.2.7 Non-uniform acceleration in two dimensions (A-level only), 3.2.8 Motion under gravity using vectors (A-level only), and 3.2.9 Projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.