A basketballer is trying to make a shot in an international game from the 3 point line (6.75 m away from the hoop). The basketball hoop is 3.05 m above the floor, the basketballer’s hands are 1.95 m above the floor when they release the ball at an angle of 39° above the horizontal.

Question

A basketballer is trying to make a shot in an international game from the 3 point line (6.75 m away from the hoop). The basketball hoop is 3.05 m above the floor, the basketballer’s hands are 1.95 m above the floor when they release the ball at an angle of 39° above the horizontal.
What velocity would the ball have to have been thrown with to reach and fall down into the hoop? And if the ball has a mass of 625 g what was the ball’s maximum potential energy during the throw?