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15 January, 11:15

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

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  1. 15 January, 11:16
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    Displacement is the shortest distance possible between initial and final position.

    As the athlete is in circular motion, displacement is zero. [ THis is because, the initial and final position is the same ]

    Distance covered in 1 round = Circumference of the circle

    Circumference of the circle = 2πr

    Diameter = 200 m

    Radius = 100 m

    Distance covered in 1 round[ 40 sec ] = 2 * 22/7 * 100 = 628.57 m

    Distance covered in 1 sec = 628.57 : 40 = 15.71 m

    2min 20 sec = 140 sec

    Distance covered in 140 sec = 15.71 * 140 = 2199.4 m

    For each complete round the displacement is zero. Therefore for 3 complete rounds, the displacement will be zero.

    At the end of his motion, the athlete will be in the diametrically opposite position. That is, displacement = diameter = 200 m.

    Hence, the distance covered is 2200 m and the displacement is 200 m.
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