A particle moves in a straight line with speed 5U 5U\,5U m s−1^{-1}−1.
It decelerates uniformly for 6 seconds, which reduces its speed to 2U 2U\,2U m s−1^{-1}−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, in terms of UUU, for each of the two decelerations.
Given that the total distance travelled is 220 metres, find the value of UUU.
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.