A person standing close to the edge on top of a 128-foot building throws a ball vertically upward. The quadratic function $\displaystyle {h}{\left({t}\right)}=-{16}{t}^{{2}}+{112}{t}+{128}$ models the ball's height about the ground, $\displaystyle {h}{\left({t}\right)}$, in feet, $\displaystyle {t}$ seconds after it was thrown.

a) What is the maximum height of the ball?

Preview Question 6 Part 1 of 2   feet

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

Preview Question 6 Part 2 of 2   seconds