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.
Show that, for the journey from P to Q, 50=2u+2a50 = 2u + 2a50=2u+2a, and show that, for the journey from P to R, 150=5u+12.5a150 = 5u + 12.5a150=5u+12.5a.
Find the acceleration of the car.
Find the speed of the car at the instant it passes Q.
197 exam-style questions on Edexcel A Level Maths Constant Acceleration, covering 8.2 Modelling Assumptions, 8.3 Quantities and Units, 8.4 Working with Vectors, 9.1 Displacement-Time Graphs, 9.2 Velocity-Time Graphs, 9.3 Constant Acceleration Formulae 1, 9.4 Constant Acceleration Formulae 2, and 9.5 Vertical Motion Under Gravity. Each one has a worked solution and a mark scheme showing where the marks go.