A $2\mathrm{.}0$ kg mass and a $3\mathrm{.}0$ kg mass approach each other as shown in the figure below. The $2\mathrm{.}0$ kg mass is initially traveling at velocity $4\mathrm{.}0$ m$/$s in a direction $60$above the $-$axis. After the collision, the combined $5\mathrm{.}0$ kg mass travels in the $-$direction only with velocity $1\mathrm{.}8$ m$/$s$.$ Find the initial velocity of the $3\mathrm{.}0$ kg mass as a magnitude and direction $.$