Three objects $A,B,$ and $C$ are moving as shown in the figure below. Assume that $v_A=11\mathrm{.}0\frac{m}{s},v_B=10\mathrm{.}0\frac{m}{s},$ and $v_C=3\mathrm{.}00\frac{m}{s}.$ The velocity of the center$-$of$-$mass of the three$-$object $(A+B+C)$ system is:

A$)-0\mathrm{.}14\frac{(m)}{(s)}$hat$(j)$

B$)-3\mathrm{.}0\frac{(m)}{(s)}j$

C$)+3\mathrm{.}0\frac{(m)}{(s)}j$

D$)-0\mathrm{.}20\frac{(m)}{(s)}$hat$(i)+0\mathrm{.}35\frac{(m)}{(s)}$hat$(j)$

E$)3\mathrm{.}0\frac{(m)}{(s)}i+0\mathrm{.}38\frac{(m)}{(s)}j$