an athlete completes a one round of a circular track of diameter 200m in 40s what will be the distance covered and the displacement at the end of 2 min and 20 sec
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Explanation:
Given :-
Diameter of circular track = 200 m
Radius, r = 200/2 = 100 m
Time taken by athlete to complete one round = 40 seconds.
To Find :-
Distance covered = ??
Displacement = ??
Formula to be used :-
Speed = Distance/Time
Circumference of circle = 2πr
Solution :-
2 min 20 seconds = 140 seconds
Number of rounds = 140/4 = 35
⇒ Distance covered = 35 × circumference
⇒ Distance covered = 35 × 2 × 22/7 × 100
⇒ Distance covered = 5 × 2 × 22 × 100
⇒ Distance covered = 22000 m
Hence, the distance covered at the end of 2 min 20 seconds is 22000 m or 22 km.
And displacement is 200 m as it return to initial position again.
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