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Question

# A runner completes one round of a circular track of diameter 400 m in 40 s. What will be the distance covered and the displacement respectively at the end of 2 min 20 s?

A
4400 m, 200 m
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B
4400 m, 400 m
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C
2200 m, 400 m
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D
2200 m, 800 m
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Solution

## The correct option is B 4400 m, 400 mRadius of the circle, r=4002=200 m Circumference of the circle =2πr =2×227×200=88007 m Speed of the runner =(88007)40=2207 m s−1 Distance covered in 2 min 20 s i.e. 140 s=2207×140=4400 m Number of rounds completed =4400(88007)=3.5 This means that the person will be at the diametrically opposite end, i.e. starting at A, and ending at B. Hence, the displacement =2r=400 m.

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