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Q.

A car runs at  a constant speed on a circular track of radius 100 m, taking 62.8 s for every circular loop. The average velocity and average speed for each circular loop respectively is :

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a

0, 0

b

0, 10 m/s

c

10 m/s, 10 m/s

d

10 m/s, 0

answer is B.

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Detailed Solution

Average velocity is defined as the ratio of displacement to time taken while the average speed of a particle in a given interval of time is defined as the ratio of distance travelled to the time taken.On a circular path in completing one turn, the distance travelled in 2πr while displacement is zero.Hence, average velocity = displacementtime interval                                  = 0t = 0Average speed = Distancetime interval                         = 2πrt = 2×3.14×10062.8 = 10 m/s
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