Question

An athlete completes one round of a circular track of diameter 200m in 40 seconds. What will be the distance covered at the end of 2 minutes and 20 seconds?

Answer 1

Answer:

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• Time taken by athlete to complete one round = 40 seconds. Distance covered = ?? Displacement = ?? Hence, the distance covered at the end of 2 min 20 seconds is 22000 m or 22 km

Answer 2

The diameter of the circular track is given as 200 m. That is, 2r=200 m.

From this radius is calculated as Radius, r = 100 m.

In 40 sec the athlete complete one round. So, in 2 mins and 20 secs, that is, 140 sec the athlete will complete = 140 / 40 = 3.5 (three and a half) rounds.

One round is considered as the circumference of the circular track.

The distance covered in $140 sec = 2πr×3.5=2×3.14×100×3.5 \\ =2200 m.$

For each complete round the displacement is zero. Therefore for 3 complete rounds, the displacement will be zero.

At the end of his motion, the athlete will be in the diametrically opposite position. That is, displacement = diameter = 200 m.

Hence, the distance covered is 2200 m and the displacement is 200 m.