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


Solution
Given,
Radius of the skating ground = 200 m
The initial and final position of all grls are same. Hence, displacement of each girl is same.
∴ Displacement
Magnitude of displacemnt is given by,
From the figure, girl B skates along the straight path PQ. Therefore, for girl B, the magnitude of displacement and distance will be equal.
Radius of the skating ground = 200 m
The initial and final position of all grls are same. Hence, displacement of each girl is same.
∴ Displacement

Magnitude of displacemnt is given by,

From the figure, girl B skates along the straight path PQ. Therefore, for girl B, the magnitude of displacement and distance will be equal.