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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? |
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Answer» Answer: • 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. |
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