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Question

Physics Question on Motion in a plane

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

A

0 , 0

B

0 , 10 ms−1ms^{-1}

C

10 ms−1ms^{-1} , 10 ms−1ms^{-1}

D

10 ms−1ms^{-1} , 0

Answer

0 , 10 ms−1ms^{-1}

Explanation

Solution

On a circular path in completing one turn, the distance travelled is 2πr2\pi r while displacement is zero. Hence, average velocity = displacementtime−interval=0t=0\frac{displacement}{time - interval} = \frac{0}{t} = 0 Average speed = DistanceTime−interval\frac{Distance}{Time -interval} = 2πrt=2×3.14×10062.8=10 ms−1\frac{2\pi r}{t} = \frac{2 \times 3.14 \times 100}{62.8} = 10 \,ms^{-1}