Question

An athlete runs around a circular track of diameter 400 m. what distance will he cover after making 2 rounds of the track and what will be his displacement.

Answer 1

The athlete covers a distance of 2513.28 meters after making two rounds of the track. However, his displacement is zero, as he starts and finishes at the same point.

Step-by-step explanation:

To calculate the distance covered by the athlete, we first need to compute the circumference (perimeter) of the circular track. The formula for this is 2πr, where r is the radius. Given that the track's diameter is 400m, the radius is 200m. Therefore, the track's circumference is 2π x 200 = 1256.64m. As the athlete has made two rounds, the total distance covered is 2 x 1256.64m = 2513.28m.

The displacement, however, is zero after making 2 rounds. Displacement is the shortest distance from the initial to the final position (it is a vector quantity). In this case, as the athlete starts and finishes at the same point, the magnitude of the displacement is zero.

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