A particle moves in a circle uniformly such that it completes a circle in \( 2 \mathrm{sec} \). ...

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A particle moves in a circle uniformly such that it completes a circle in \( 2 \mathrm{sec} \). During half a turn its centripetal acceleration change by \( 6 \mathrm{~m} / \mathrm{s}^{2} \). Choose the correct option(s).
(1) the radius of the circle is \( \left(3 / \pi^{2}\right) \mathrm{m} \).
(2) the magnitude of change in velocity during \( 1 \mathrm{~s} \) is \( 3 / \pi \mathrm{m} / \mathrm{s} \)
(3) the tangential velocity of the particle is \( 3 / \pi \mathrm{m} / \mathrm{s} \).
(4) the particle is moving in anticlockwise sense as seen from above.
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