A ball is thrown upward from the top of a building 240 feet tall. The height of the ball is described by the function [math], where [math] is in seconds and [math] corresponds to the moment the ball is thrown.

a) Determine for what value of [math] the ball reaches the maximum height and determine this maximum height.

[math] and maximum height =

b) Determine when the ball reaches the ground.

[math]