If a ball is thrown vertically upward with an initial velocity of 160 ft/s, then its height after t seconds is s = 160t 16t2. (Consider up to be the positive direction.) (a) What is the maximum height (in ft) reached by the ball? (b) What is the velocity (in ft/s) of the ball when it is 384 ft above the ground on its way up? What is the velocity (in ft/s) of the ball when it is 384 ft above the ground on its way down?