William works in a factory sorting packages on a roller$-$belt conveyor system. Feeling a bit impatient, he helps move a

$14\mathrm{.}6-$kg package along by pushing it over a distance of $3\mathrm{.}2$ m with a constant force of $150$ N$.$ Before he touched the

package, it was moving at a constant speed of $0\mathrm{.}6$ m$/$s$.$ If the opposing friction force between the conveyor belt and the

package averages $18\mathrm{.}0$ N$,$ calculate the final velocity of the package.