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Three girls skating on a circular ice ground of radius $200 \mathrm{~m}$ 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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Displacement for each girl $=\overrightarrow{P Q}$.
$\therefore$ Magnitude of the displacement for each girl
$=P Q=$ diameter of circular ice ground $=2 \times 200=400 \mathrm{~m}$.
For $\operatorname{Girl} B$, the magnitude of displacement $=$ length of path skate.
$\therefore$ Magnitude of the displacement for each girl
$=P Q=$ diameter of circular ice ground $=2 \times 200=400 \mathrm{~m}$.
For $\operatorname{Girl} B$, the magnitude of displacement $=$ length of path skate.
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