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

1
by hrithi

2015-04-05T11:17:03+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Distance covered in one complete round ie., 40 sec.
= circumference of circle of diameter 200 m
=  π 200  meters.
Distance covered in 2 mins 20 sec or 140 sec: =  200 π * 140/40 = 700 π meters

In 140 seconds, the athlete makes 3 complete rounds and runs for 20 secs after that.

in 40 secs, he runs a complete circle (covers 360°).  So in 20 secs, athlete runs half-circle and covers 180°.

So at the end of 140 seconds, athlete is at the diametrically opposite end on the circular track.

The displacement = vector joining the initial position to the final position.
It magnitude = diameter = 200 meters.