In the given configuration of a rigid body in motion, the velocities at points A and $B$ are $V_A=4\frac{m}{s}$ and $V_B=2\frac{m}{s}$ with $=45$ and $=30,$ respectively. $AC$ and $BC$ are perpendicular to each other. The magnitude of velocity at point $C$ is

A$)3\mathrm{.}31\frac{m}{s}$

B$)5\mathrm{.}82\frac{m}{s}$

C$)3\mathrm{.}04\frac{m}{s}$

D$)1\mathrm{.}36\frac{m}{s}$