Question

Three girls skating on a circular ice ground of radius 200m start from a point p on the edge of the ground and reach a point Q diametrically oppposite to p following different paths as shown in figure what is the magnitude of the displacement for each?for which girl is this equal to the actual length of path skate

Answer 1

PQ = diameter

= displacement for each girl = 2r = 2 x 200 = 400 m

Since, displacement vector does not depend upon the actual path length and it is the shortest distance between initial and final position, so in the case of each girl the displacement is 400 m.

Answer 2

Explanation:

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Displacement is given by the minimum distance between the initial and final position of particle

In the given case, all the girls start from point P and reach point Q. The magnitudes of their displacements will be equal to the diameter of the ground

Radius of the ground = 200m

Diameter of the ground = 200 * 2 = 400m

Hence, the magnitude of the displacement for each girl is 400m. This is equal to the actual path skated by girl B