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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 of 2 minutes 20s?
Most Upvoted Answer
An athlete completes one round of a circular track of diameter 200m in...
T=2mins 20s=140s.. Distance=Perimeter of field×140/40... =2×(22/7)×(200/2)×(140/40)m.... =(2×22×200×140)/(7×2×40)m.... =2200m.... Displacement=2r=d=200m.....
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An athlete completes one round of a circular track of diameter 200m in...
Calculating Distance and Displacement
1. Distance covered in 2 minutes 20 seconds:
- 1 minute = 60 seconds
- 2 minutes 20 seconds = 140 seconds
- Time taken for one round = 40 seconds
- Number of rounds in 2 minutes 20 seconds = 140 seconds / 40 seconds = 3.5 rounds
- Distance covered in 3.5 rounds = 3.5 * 200m = 700m
2. Displacement at the end of 2 minutes 20 seconds:
- Displacement is the shortest distance between the initial and final points.
- In one complete round, the initial and final points coincide, so the displacement is zero.
- Since the athlete completes 3.5 rounds, the net displacement is still zero as the athlete ends up at the starting point.
Therefore, at the end of 2 minutes 20 seconds, the athlete would have covered a distance of 700m but the displacement would be zero since the athlete returns to the starting point after completing the rounds.
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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 of 2 minutes 20s?
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