A large wedge with a mass of $10kg$ rests on a horizontal frictionless surface, as shown. A block with a mass of $5\mathrm{.}0kg$ starts from rest and slides down the inclined surface of the wedge, which is rough. At one instant the vertical component of the block's velocity is $3\mathrm{.}0\frac{m}{s}$ and the horizontal component is $6\mathrm{.}0\frac{m}{s}.$ At that instant the velocity of the wedge is:

A$.3\mathrm{.}0\frac{m}{s}$ to the left

B$.3\mathrm{.}0\frac{m}{s}$ to the right

C$.6\mathrm{.}0\frac{m}{s}$ to the right

D$.6\mathrm{.}0\frac{m}{s}$ to the left

E$.17\frac{m}{s}$ to the right

ans: B