A runner circles a track of radius 100 m one time in 100 s at a constant rate. The greatest change in his velocity from his starting velocity occurs one-half of the way around the track..
As per the statement of the question, the runner covers the total distance in 100s.
The speed is constant but velocity is changing because the body keeps rotating in a circular path and due to this its position changes.
The change in velocity is termed as angular change θ.
For half circular the angular change is θ and for the remaining half the angular change becomes - θ.
Thus the changes in his velocity from his starting velocity occurs one-half of the way around the track.
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