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The acceleration of the bike will depend on the general shape of the hill(ie. it's slope along the line of movement). If you don't take any friction into account, yes, the speed of the bike at the bottom will be greater if it goes from the bigger(ie. higher) hill.

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15y ago
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13y ago

In both cases, the component of weight downhill is the resultant force on the person-bike system. By resolution of vectors, it can be shown that the component of weight downhill is given by:

Component of weight downhill = mgsinA

where

m is the mass of the system

g is the acceleration of free fall

A is the acute angle between the slope of the hill and the horizontal.

A steep hill will have a larger value of A. Thus, the component of weight downhill will be greater (since sinA is greater). From Newton's second law, the acceleration will be greater.

Hence, a person riding a bike down a steep hill accelerate faster than on a gradual hill.

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Q: Why does a person riding a bike down a steep hill accelerate faster than on a gradual hill?
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