A particle is projected along a horizontal field whose coefficient of friction varies as \( \mu=...

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A particle is projected along a horizontal field whose coefficient of friction varies as \( \mu=A / r^{2} \), where \( r \) is the distance from the origin in metres and \( A \) is a positive constant. The initial distance of the particle is \( 1 \mathrm{~m} \) from the origin and its velocity is radially outwards. The minimum initial velocity at this point so the particle never stops is
(1) \( \infty \)
(2) \( 2 \sqrt{g A} \)
(3) \( \sqrt{2 g A} \)
(4) \( 4 \sqrt{g A} \)
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