2025 CHS PRELIMS P1 Q25

The diagram shows the speed-time graphs of a car and lorry travelling along the same road in the same direction. Both vehicles begin their journey from the same starting point. The lorry accelerates for 30 seconds and then travels at a constant speed of 20 m/s. The car accelerates at a uniform rate of (0.5 ext{ m/s}^2) from rest.

1. Find the speed of the lorry at 12 seconds.[2]
2. Draw the distance-time graph of the lorry for (0leq tleq50 ext{ s}).[2]
3. Find the time taken for the car to meet the lorry.[4]