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

Answer»

n :An athlete completes one round of a circular track of diameter 200m in 40second. What will be the distance covered and the displacement at the END of 2minutes 20second ?To find :The distance covered and the displacement at the end of 2minutes 20secondGivEn Data :The diameter of the circular track = 200 mRadius (r) = 200/2r = 100 mTime is taken by an athlete to COMPLETE one round = 40 seconds.Displacement = ?Speed = Distance/TimeSolution :Total time athlete moves – 2 min 20 seconds2 min 20 seconds = 2 × 60 + 202 min 20 seconds = 140 secondsNeed to find the distance covered in one roundDistance covered in one round = Circumference of circleDistance covered in one round = 2πrDistance covered in one round = 2Distance covered in one round = 2 × 100πDistance covered in one round =200πTime is taken by an athlete to complete one round = 40 seconds.Number of rounds completed in 140s = 140/40Number of rounds completed in 140s = 35Distance covered = 3.5 × circumferenceDistance covered = 3.5 × 2πrDistance covered = 3.5 × 2 × 3.14 × 100Distance covered = 2200 m We know that,1 KM = 1000 m2.2 km = 2200 mHence, the distance covered at the end of 2 min 20 seconds is 2200 m or 2.2 kmAnd displacement is 200 m as it returns to the initial position.



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