A cyclist rides along a straight horizontal road.
Starting from rest, the cyclist accelerates uniformly at 0.8 m s−2^{-2}−2 for 15 seconds.
The cyclist then travels at a constant speed for 25 seconds, before decelerating uniformly to rest in a further 6 seconds.
Find the maximum speed of the cyclist.
Find the total distance travelled by the cyclist.
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.