A firecracker is shot upward offabalcony that is 12 feet above the ground with an initial velocity of v feet per second. The firecracker reaches a maximum height of 30.02 feet at 1.156 seconds after being shot upward. The formula for the vertical motion of an object is h(t)=1/2at^2+vt+s, where the gravitational constant, a ,is -32 feet per square second, and h(t) is the height in feet modeled as a function of time, t.