A car passes a point A A\,A on a straight horizontal road with speed 30 m s−1^{-1}−1, moving with constant deceleration 1.5 m s−2^{-2}−2.
At the same instant a motorcycle starts from rest at A A\,A and moves along the same road in the same direction with constant acceleration 2.5 m s−2^{-2}−2.
Show that the motorcycle draws level with the car 15 seconds after they pass AAA.
Find the distance from A A\,A at which the motorcycle draws level with the car.
Show that, at the instant the motorcycle draws level with the car, the motorcycle is travelling 30 m s−1^{-1}−1 faster than the car.
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.