Question

4.8 Three girls skating on a circular ice ground of radius
200 m start from a point P on the edge of the ground
and reach a point Q diametrically opposite to P following
different paths as shown in Fig. 4.20. What is the
magnitude of the displacement vector for each ? For
which girl is this equal to the actual length of
path skate ?​

Answer 1

Explanation:

Displacement is given by the minimum distance between the initial and final positions of a 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.

The radius of the ground =200m

Diameter of the ground=2×200=400m

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