A cyclist rides around a circular track at a constant speed.
a.[1]
Explain why the cyclist’s velocity is not constant.
b.[2]
The work done by the cyclist after completing one lap of the track is 4800 J4800\text{ J}4800 J. It takes the cyclist 80 s80\text{ s}80 s to complete one lap.
Calculate the power of the cyclist.
c.[3]
After the lap, the cyclist slows down from a velocity of 8 m/s8\text{ m/s}8 m/s to a velocity of 2 m/s2\text{ m/s}2 m/s. The deceleration of the cyclist is 0.5 m/s20.5\text{ m/s}^20.5 m/s2.
Calculate the time taken for the cyclist to change velocity.
Use the equation: acceleration=change in velocitytime\text{acceleration} = \frac{\text{change in velocity}}{\text{time}}acceleration=timechange in velocity