A $0\mathrm{.}145-$kg baseball pitched horizontally at $38\mathrm{.}1$ m$/$s strikes a bat and is popped straight up to a height of $57\mathrm{.}2$ m $.$ If the contact time is $2\mathrm{.}90$ ms $,$ calculate the magnitude of the average force on the ball during the contact. Calculate the direction of the average force on the ball during the contact.