A ball is thrown vertically upward from ground level. It passes a balcony that is 25m above the ground on its way up and again on its way down exactly 3.0s later. Air resistance is negligible, and the acceleration due to gravity is g=10m/s2 downward.
(a) Determine the ball’s initial speed.
(b) Calculate the maximum height the ball reaches above the ground.
(c) Find the magnitude of the ball’s velocity as it passes the balcony on the way down.