posted by Drew on .
A basketball player attempting a free throw shoots the ball at an angle of 35 above the horizontal. The basket is 4.21 m from the foul line and 3.05 m above the floor. If the ball is released at a height of 1.83 m above the floor and it goes through the basket, what's the max height above the floor reached by the ball?
The highest it could go if it must go in the basket would be when it is launched with enough velocity to clear the rim and bounce in off the backboard.
To do this properly, you need the diameter of the ball.
They must want you to make some approximations that let you treat the basketball as a point.
Assume that when the zero-radius ball reaches the basket it has the same height as the basket and a vertical velocity component of zero.