A car passes three posts P, Q and R, on a straight horizontal road. The distance PQ=50mPQ = 50\text{m}PQ=50m. The distance QR=100mQR = 100\text{m}QR=100m. The car, moving with constant acceleration, takes 2 seconds to travel from P to Q and 3 seconds to travel from Q to R.
Find the acceleration of the car.
Find the speed of the car at the instant it passes Q.
158 exam-style questions on OCR (MEI) A Level Maths 3.2 Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Position, displacement, distance and distance travelled, 3.2.3 Velocity, speed and acceleration distinctions, 3.2.4 Draw and interpret kinematics graphs, 3.2.5 Differentiate position and velocity (A-level only), 3.2.6 Integrate acceleration and velocity (A-level only), 3.2.7 When constant acceleration formulae apply, 3.2.8 Solve 1-D kinematics problems, 3.2.9 Language of kinematics in 2 dimensions (A-level only), 3.2.10 Extend 1-D techniques to 2-D using vectors (A-level only), 3.2.11 Cartesian equation of a path (A-level only), and 3.2.12 Vectors to solve kinematics problems (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.