To determine where the bicyclist's potential energy is increasing, we need to consider the relationship between height (elevation) and potential energy. Potential energy (PE) is typically calculated using the formula:
\[ PE = mgh \]
where \( m \) is mass, \( g \) is the acceleration due to gravity, and \( h \) is the height above a reference point.
As the bicyclist moves, their potential energy increases when their elevation (height) increases.
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At point A: If the bicyclist is moving fastest here, it does not necessarily correlate with an increase in potential energy. Speed relates more to kinetic energy, but unless point A is elevated relative to other points, we cannot say PE is increasing there.
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At point B: If it is specified that point B is the highest point, then the potential energy is increasing at this point due to the elevation gain, assuming the bicyclist is moving upwards.
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At point C: If point C involves an elevation gain, then potential energy increases here as well.
Given the responses provided, the most accurate option is:
"The potential energy is increasing at point B because the bicyclist is highest there."
This assumes that point B is indeed the highest point relative to the others. If point C is also elevated, then that point could also lead to an increase in PE. However, based on the phrasing in the options, point B is the most straightforward choice.
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