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Power supplied to a particle of mass \( 2 \mathrm{~kg} \) varies
\( \mathrm{P} \)
W with time as \( P=\frac{3 t^{2}}{2} \mathrm{~W} \). Here, \( \mathrm{t} \) is in second. If velocity of particle at \( \mathrm{t}=0 \) is \( \mathrm{v}=0 \). The velocity of particle at time \( t=2 \mathrm{~s} \) will be :-
(1) \( 1 \mathrm{~m} / \mathrm{s} \)
(2) \( 4 \mathrm{~m} / \mathrm{s} \)
(3) \( 2 \mathrm{~m} / \mathrm{s} \)
(4) \( 2 \sqrt{2} \mathrm{~m} / \mathrm{s} \)
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