Question

An athlete completes a round of a circular track of diameter 200m in 20 s. What will be the
i) The distance travelled by the athlete and
) the magnitude of the displacement of the athlete at the end of 1 minutes and 10 seconds ?

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Answer 1

Answer:

3 rounds = Displacement = 0 , as initial and final point is same. Thus, displacement = 200 m

Answer 2

Answer:

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 20 sec the athlete complete one round. So, in 1 mins and 10 secs, that is, 70 sec the athlete will complete = 70 / 20 = 3.5 (three and a half) rounds.

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

I) The distance covered in 70 sec = 2πr×3.5=2×3.14×100×3.5=2200 m.

II) 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.

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