A $144$ g baseball is thrown at a speed of $36\mathrm{.}2$ m$/$s towards a batter. The bat hits it and the bat exerts a force of $1500$ N on the ball for a time of $4\mathrm{.}3$ ms and sends the ball directly back in the direction it came. What is the speed of the baseball when it leaves the bat ?$.($Record your $3$ digit answer$)$