In a race, the circular track is 2 km long. An athlete covers 10 laps in 8 minutes. What is the velocity of the athlete?
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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 = 140/40 = 3.5
⇒ Distance covered = 3.5 × circumference
⇒ Distance covered = 3.5 × 2 × 22/7 × 100
⇒ Distance covered = 5 × 2 × 22 × 100
⇒ Distance covered = 2200 m
Hence, the distance covered at the end of 2 min 20 seconds is 2200 m.
And displacement is 200 m as it return to initial position again.
Explanation:
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