Question

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

Answer 1

Diameter of circular track, d = 200 m.

radius of the circular track,

r = \(\frac{d}{2}\) = 100m

Circumference = 2πr = 2p(100) = 200πcm.

in 40s, athlete covers distance 200πm

in 1s, distance covered by athlete = \(\frac{200\pi}{40}\) m

Athlete runs for 2 minutes 20s means 140s

∴ Displacement of all athlete is equal to the diameter of circle

= \(\frac{200\times 22}{40\times 7}\) × 140

= 2200 m

∴ Displacement = 200 m.