A car moves along a horizontal straight road, passing two points A A\,A and BBB. At A A\,A the speed of the car is 15 m s-1. When the driver passes AAA, he sees a warning sign W W\,W ahead of him, 120 m away. He immediately applies the brakes and the car decelerates with uniform deceleration, reaching W W\,W with speed 5 m s-1. At WWW, the driver sees that the road is clear. He then immediately accelerates the car with uniform acceleration for 16 s to reach a speed of V m s−1V \text{ m s}^{-1}V m s−1 (V>15V > 15V>15). He then maintains the car at a constant speed of V m s−1V \text{ m s}^{-1}V m s−1. Moving at this constant speed, the car passes B B\,B after a further 22 s.
Sketch a speed-time graph to illustrate the motion of the car as it moves from A A\,A to BBB.
Find the time taken for the car to move from A A\,A to BBB.
The distance from A A\,A to B B\,B is 1 km. Find the value of VVV.
4 exam-style questions on Edexcel A Level Old Maths Velocity Time Graphs. Each one has a worked solution and a mark scheme showing where the marks go.