1.

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

Answer»

SOLUTION :Given : Diameter of circular track =200 m
time of complete =40 s
Formula : Circumference of the track = `d pi m`
speed = DISTANCE /time
Circumference of the track =` d. pi`
=200 x 3.14 =628 m
speed = `"628m"/"40s"=15.7 ms^(-1)`
Distance covered in 2 min 20 s = speed x time
=15.7 x 140 s
In the given time athlete covers `3 1/2` ROUNDS =2198 m
The final position of athlete is as shown in figure (A - INITIAL position, B-final position)
`therefore` Displacement =diameter of the track
=200 m


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