A cyclist is travelling up a straight road inclined at 5° to the horizontal along the line of greatest slope. All resistances to motion can be neglected. The cyclist is working at a constant rate of 300 W.
Given that the acceleration of the cyclist is 0.5 m s-2 at the instant when he is travelling up the hill with speed 2 m s-1, find the total mass of the cyclist and his bicycle.
At the top of the hill, the cyclist turns around and travels down the hill producing a constant power of 100 W.
Find the acceleration of the cyclist at the instant he reaches the speed 5 m s-1.
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