4. A basketball is thrown from a height of 1.60(m), with an angle of 45o above the horizontal.

(a) With what initial speed must the basketball be thrown so that it reaches the basket at the highest
point of its trajectory? The basket is at a height of 3.05(m) above the ground.
(b) If it is thrown with this initial speed you just found, at what horizontal distance from the basket must one be to score? In other words, what horizontal distance will the ball have travelled when it reaches the basket?