Question

1. An athlete completes one round of a circular track of diameter200 m in 40 s. What will be the distance covered and the
displacement at the end of 2 minutes 20 s?
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Answer 1

Answer:

Diameter=200m

Radius=Diameter/2=200/2=100m

Time=40 seconds

As,the athlete covers the path in a circular motion,So,the displacement is zero.

Distance cover in one round = 2πr

(circumference of the circle=2πr)

2πr=2×22/7×100

    =4400/7

    =628.571m

Distance covered in 1 second (during one round) = 628.571/40 = 15.714 m

We have to find the distance covered and the displacement at the end of 2min 20s.

Displacement is zero (as the path is circular). But the athele covers 3.5 rounds (140/40). So, the displacement of the athele is equal to it's diameter of circle i.e. 200 m.

Distance covered in 2min 20sec or 140 sec = 15.714 × 140 = 2199.96 = 2200 m (approx.)

Explanation:

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