At the start of a basketball game, the referee tosses a basketball straight into the air by giving it some initial speed. After being given that speed, the ball reaches a maximum height () above where is stated. Using the conservation of energy, find the expressions for
a. the ball's initial speed in terms of the gravitational acceleration () and the maximum height () and;
b. the height of the ball when it has speed () in terms of its current height (), the gravitational acceleration (), and the maximum height ()
