A car starts from rest and accelerates at a constant rate to the speed of Vms−1V\text{ms}^{-1}Vms−1 in 16 seconds. The car maintains this speed for 40 seconds before decelerating to rest. The magnitude of the deceleration is 43\displaystyle \frac{4}{3}34 times this magnitude of the acceleration.
Show the total time taken for the journey is 68 seconds and hence, given the total distance is 1080m, find the value of V.
Sketch a velocity-time graph for this information.
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.