A $2\mathrm{.}10-kg$ particle has a velocity $(2\mathrm{.}06$hat$(i)-3\mathrm{.}06$hat$(j))\frac{m}{s},$ and a $3\mathrm{.}08-kg$ particle has a velocity $(0\mathrm{.}91$hat$(i)+6\mathrm{.}03$hat$(j))\frac{m}{s}.$

$($a$)$ Find the velocity of the center of mass.

$$

$$

hat$(i)+$

j$)\frac{m}{s}$

$($b$)$ Find the total momentum of the system.

$$

$$

hat$(i)+$

j$)kg*\frac{m}{s}$