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A particle of mass \( 1 \mathrm{~kg} \) moves in a circular path of radius \( 1 \mathrm{~m} \) such that its speed varies with time
\( \mathrm{P} \) as per equation \( \mathrm{v}=3 \mathrm{t}^{2} \mathrm{~m} / \mathrm{s} \) where time \( \mathrm{t} \) is in

W seconds. The power delivered by the force acting on the particle at \( \mathrm{t}=1 \mathrm{~s} \), is :-
(1) \( 36 \mathrm{~W} \)
(2) \( 20 \mathrm{~W} \)
(3) \( 18 \mathrm{~W} \)
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