Question

An athlete complete one round of a offer circular track of diameter 200m in 40 seconds what will be the distance covered and the displacement at the end of 2 minutes 20 seconds?

Answer 1

Answer:

The Displacement is 314 m and the distance covered is 2198 m.

Explanation:

According to the question,

An Athlete completes a round of a circular track of diametre 200 m in 40 seconds.

Radius of the track = d/2

= 200/2 m

= 100 m

Circumference of the track = 2$\pi$r

= [2*3.14*100] m

= 628 m

So, at the end of one circular motion, the athlete would have covered 628 m distance but his body would have displaced 0 m as he reaches to his starting point again.

So,

In 2 minutes 20 seconds or, 140 seconds

No. of Rounds = [140/40]

= 3.5

Distance covered = [3.5*628] m

= 2198 m

Displacement = After the end of 3 rounds, the displacement would have been 0m as the athlete still stand in the starting position. So, his body is only displaced when he covered another half of the track.

= [628/2] m

= 314 m

Hope this helps.