A team of engineering students is designing a catapult to launch a small ball at A so that it lands in the box. If it is known that the initial velocity vector makes a $\backslash$theta $=30\backslash$deg angle with the horizontal, determine the range of launch speeds for which the ball will land inside the box.

Assume a $=13\mathrm{.}1$ ft$,$ b $=2$ ft$,$ c $=6$ in$.,$ d $=15$ in$.$