A car starts from rest and accelerates uniformly to V m s−1V\text{ m s}^{-1}V m s−1 in 6 seconds. It maintains this velocity for 50 seconds and then decelerates uniformly to rest. The magnitude of its deceleration is 1.5 times the magnitude of its acceleration.
Show that the total time taken is 60 seconds.
Sketch a velocity-time graph for the motion.
Given that the average speed for the whole journey is 22 m s-1, determine the value of VVV.
8 exam-style questions on OCR A Level Maths 3.2.3 Displacement-time and velocity-time graphs. Each one has a worked solution and a mark scheme showing where the marks go.