Power supplied to a particle of mass 2 kg varies with time is $P=\large\frac{3t^2}{2}$ watt, velocity of particle at $t=0$ is $v=0.$ The velocity of particle at $t=2s$ will be

Question

\[(a)\;1\;m/s \quad (b)\;2\;m/s \quad (c)\;4\;m/s \quad (d)\;2 \sqrt 2\;m/s \]