A car starts from rest and accelerates at a constant rate to the speed of V m s−1V\text{ m s}^{-1}V m s−1 in 6 seconds. The car maintains this speed for k k\,k seconds before decelerating to rest. The magnitude of the deceleration is 1.5 times the magnitude of the acceleration.
show the total time taken for the journey is (k+10)(k+10)(k+10) seconds.
sketch a velocity-time graph for this information.
Given the total distance is 1320 m, find the value of V V\,V in terms of kkk.
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.