an athlete complete one round of a circular track of diameter 200 m in 40 m sec what will be the distance covered and the distance covered and the displacement at the of 2 minutes 20 sec?
Answers
Correct Question:
An athlete covers one round of a circular track of diameter 200m in 40 sec. What will be the distance covered and displacement at the end of 2 min 20 sec?
Answer:
At the end of 2 min 20 sec.,
• Distance covered is 2200m
• Displacement is 200m.
Explanation:
Given:
Diameter of circular track = 200m
Time taken for 1 round = 40 sec.
To find :
The distance covered and displacement
Solution :
Diameter = 200m
Radius =
200 / 2
100m
Therefore,
Radius = 100m
Time taken for 1 round = 40 sec.
First convert minute into seconds
So,
2min. 20 sec. = 140 seconds
Number of round = 140 / 40
3.5 means 3 and half round
Therefore,
Number of round = 3.5
Circumference of circle = 2 π r
Distance covered = 3.5 × Circumference of circular track
➙ 3.5 × 2 π r
➙ 3.5 × 2 × 22 / 7 × 100
➙ 2200m
Therefore,
At the end of 2 min 20 sec.,
Distance covered is 2200m
Displacement is 200m as it return to initial position again .
Answer:
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Explanation:
Distance covered = 2200 m
Hence, the distance covered at the end of 2 min 20 seconds is 2200 m or 22 km.