8 A bus is travelling along a straight road at \(5.4 \mathrm {~ms} ^ { - 1 }\). At \(t = 0\), as the bus passes a boy standing on the pavement, the boy starts running in the same direction as the bus, accelerating at \(1.2 \mathrm {~ms} ^ { - 2 }\) from rest for 5 s . He then runs at constant speed until he catches up with the bus.
- The diagram in the Printed Answer Booklet shows the velocity-time graph for the bus.
Draw the velocity-time graph for the boy on this diagram.
- Determine the time at which the boy is running at the same speed as the bus.
- Find the maximum distance between the bus and the boy.
- Find the distance the boy has run when he catches up with the bus.