**A cannon sits on top of a 288-foot cliff overlooking a lake. A cannonball is fired upward at an initial velocity of 112 feet per second. the height s, (in feet) of the cannonball above the lake at any time t, is determined by the function s (t)= -16t^2 + 112t +288**

a) When did the cannonball reach its maximum height?

b) What is the maximum attained by the cannonball?

c) When did the cannonball hit the water after the cannon was fired?

**Answer:**