A person standing close to the edge on top of a 96-foot building throws a ball vertically upward. The quadratic function h=16t2+116t+96\displaystyle {h}=-{16}{t}^{{2}}+{116}{t}+{96} models the ball's height about the ground, h\displaystyle {h}, in feet, t\displaystyle {t} seconds after it was thrown.

a) What is the maximum height of the ball?

  feet

b) How many seconds does it take until the ball hits the ground?

  seconds