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. What is the magnitude of the displacement vector for each ? For which girl is this equal to the actual length of path skate?

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The given diagram is

Motion in a Straight Line

Given the radius of the ground is 200m.

The given case is all the three girls start from the same point that is P and reaches the point Q.

So, we know that the displacement is the straight line distance between initial and final position.

So, the displacement of the girls will be equal to the diameter of the circle which is the straight line distance between P and Q.

Diameter of the ground

= 2 x radius

= 2 x 200m

= 400m

Thus the magnitude of the displacement of each girl is 400m.

For girl B the magnitude of displacement is equal to the actual length of the path skate.

The magnitude of the displacement of each girl is 400m.

For girl B the magnitude of displacement is equal to the actual length of the path skate.

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