2026 SPS P1 Q22

The speed-time graph shows a car’s journey between two sets of traffic lights. The car accelerates uniformly from rest to a maximum speed of v m/s in 24 seconds, then decelerates uniformly to rest at 56 seconds. The car travels 672 m in total.

1. Calculate the maximum speed, \(v\).[1]
2. Calculate the deceleration of the car after 24 seconds.[1]
3. On the axes below, sketch the distance-time graph for the journey.[2]