An athlete runs along a circular track of circumference 400m with a uniform speed 15m/s.What is the change in velocity when he runs through a distance of (i)100m and (ii)200m?

Asked by  | 13th Aug, 2011, 03:09: AM

Expert Answer:

In a uniform circular motion like this, the speed remains constant but the direction of velocity changes at each point.
 
(i)  When the objects covers 100m, the athlete covers one-fourth of the circumference and the direction of velocity becomes perpendicular (at 90o) to the direction of velocity at the starting point.
 
(ii)  When the object covers 200 m, the athlete covers half of the circumference and the direction of velocity becomes anti-parallel (at 180o) to the initial direction of velocity.
 
Thus, the change in velocity is only in terms of its direction. Its magnitude remains constant.
 

Answered by  | 15th Aug, 2011, 10:22: PM

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