Acceleration of an object down a slope increases as the angle of the slope is increased
(a) The ball that arrives at the end first is ball A
(b) Racing cyclist select areas having a steeper slope on a hill that gives them a velocity boost
Reason:
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The acceleration of the balls on the inclined plane is given by the following formula;
Force, F = m·g·sin(θ)
Therefore, the acceleration, a, of ball A and ball B at the part having the same slope are equal
The acceleration of ball A at the part of its track that is almost vertical is approximately, g, (acceleration due to gravity). The velocity at the end of the drop is u' = v + g·Δt, therefore;
(b) The principle is applied by racing cyclist by selecting a steeper path that gives them a velocity boost much larger than what is being normally applied, by the force applied by pedaling
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