Launching a rocket A small rocket is launched vertically upward from the edge of a cliff 80 ft off the ground at a speed of 96 ft/s. Its height (in feet) above the ground is given by h(t) = −16t2 + 96t + 80, where t represents time measured in seconds.
a. Assuming the rocket is launched at t = 0, what is an appropriate domain for h?
b. Graph h and determine the time at which the rocket reaches its highest point. What is the height at that time?
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