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A particle is moving with speed \( v \) on a circle (of
\( \mathrm{P} \) radius \( r \) and centered at origin) as shown in the given

W figure, in anticlockwise fashion. Average acceleration of the particle during its motion from point \( A \) to point \( B \) is
(1) \( \frac{-2 v^{2}}{\pi r}(\hat{i}-\hat{j}) \)
(2) \( \frac{-2 v^{2}}{\pi r}(\hat{i}+\hat{j}) \)
(3) \( \frac{2 v^{2}}{\pi r}(\hat{i}+\hat{j}) \)
(4) \( \frac{2 v^{2}}{\pi r}(\hat{i}-\hat{j}) \)
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