An athlete completes one round of a circular track


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

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Answer:

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 = 140/40 = 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.


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