9 A cyclist travels along a straight horizontal road between house \(A\) and house \(B\).
The cyclist starts from rest at \(A\) and moves with constant acceleration for 20 seconds, reaching a velocity of \(15 \mathrm {~ms} ^ { - 1 }\). The cyclist then moves at this constant velocity before decelerating at \(0.3 \mathrm {~m} \mathrm {~s} ^ { - 2 }\), coming to rest at \(B\).
- Find the time, in seconds, for which the cyclist is decelerating.
- Sketch a velocity-time graph for the motion of the cyclist between \(A\) and \(B\). [Your sketch need not be drawn to scale; numerical values need not be shown.]
The total distance between \(A\) and \(B\) is 1950 m .
- Find the time, in seconds, for which the cyclist is moving at constant velocity.