Velocity and acceleration on a running track

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SUMMARY

The discussion focuses on the concepts of velocity and acceleration of a runner on a circular track. The consensus is that the runner's velocity is largest at point B, where the runner covers the greatest distance in both the x and y planes due to the curvature of the track. However, the runner's acceleration is not necessarily largest at the same point, as acceleration depends on changes in velocity direction rather than speed alone. Understanding these dynamics is crucial for analyzing motion in circular paths.

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mwhowell
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Homework Statement



A runner runs with a constant speed around the track.

1. At which point is the runner's velocity the largest? Explain.
2. At which point is the runner's acceleration the largest? Explain



Homework Equations







The Attempt at a Solution



It seems to me that the runner would have the greatest velocity and acceleration at point B because he/she is covering the most area in the x and y planes in with every stride due to the bend in the track but I am not 100% sure. Can anyone tell me if that is correct and if not explain to me how to find the correct answer?
 
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