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

Given that

diameter = 200m

time = 40 s
radius = 200/2 = 100 m

Find out

The distance covered and the displacement at the end of 2 minutes 20s

Formula

Circumference of circle = 2∏r

Distance covered = circumference of circular track

Thus,
distance covered in 40 s= 2∏r = 2 x 3.14 x 100 = 628 m
distance covered in 1 s = 628/40=15.7 m
Thus, distance covered in 2 min 20 s i.e. 140 s = 15.7 x 140 = 2198 m ≈ 2200 m

Displacement in 2 mins that is 120 s will be zero because the athlete will complete 3 rounds and at that time initial position and final position will be the same. But, later the next 20 s the displacement will be equal to the diameter of the circular track which is 200 m

Thus,
distance covered = 2200 m and
displacement = 200 m

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