A lorry is travelling along a straight horizontal road with constant speed 15 m s−1^{-1}−1.
At the instant the lorry passes a stationary car, the car starts from rest and accelerates uniformly at 2 m s−2^{-2}−2 along the same road in the same direction.
Find the time taken for the car to catch up with the lorry.
Find the distance travelled by the car in this time.
Find the speed of the car at the instant it catches up with the lorry.
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.