A neighborhood threw a fireworks celebration for the 4th of July. A bottle rocket was launched upward from
the ground with an initial velocity of 160 feet per
second. The formula for vertical motion of an object is
h(t) = 0.5at? + vt +s, where the gravitational constant,
a, is -32 feet per square second, v is the initial velocity,
sis the initial height, and h(t) is the height in feet
modeled as a function of time, t.
A. What function describes the height, h, of the bottle
rocket after t seconds have elapsed? Make sure your
answer is in function notation.
B. What was the maximum height of the bottle rocket?
feet