An athlete completes one round of a circular tracks of diameter 200 meters in 40 sec. What will be the distance covered and the displacement at the...

The diameter of the circular track is 200 m and hence the length of the track would be equal to the circumference of the track, which is equal to `pi`d, where d is the diameter.

Hence, length of the track = `pi`d = 200`pi` m.

The time taken by the athlete to complete one full circle = 40 s.

Thus, the speed of the athlete = distance covered / time taken = 200`pi`/40 m/s 

= 5`pi` m/s.

Total time = 2 min and 20 sec.

Since there are 60 seconds in a minute,

the total time = 2 x 60 s + 20 s = 140 s.

The distance covered in 140 s = speed x time = 5`pi` m/s x 140 s

= 2199.1 m (by using a value of 22/7 for `pi`, we will get a value of 2200 m).

In 140 s, the athlete will cover 3.5 turns (= 140 s / 40 s/turn = 3.5 turns).

Thus, the athlete would be diametrically opposite to his starting position at the end of 140 s and hence the displacement is the same as the diameter and is equal to 200 m.

Hope this helps.