A rocket is launched by Team Flash from the ground on Earth-60. The rocket passes a sensor at a height of 5280 feet after 5 seconds and lands back on Earth-60 after 71 seconds.
Write an equation for the height of the rocket, h, in feet as a function of the number of seconds, t, since
the rocket was launched.
Round to 3 decimal places as needed.
After how many seconds will the rocket reach its maximum height?
Round to 3 decimal places as needed.
What is the maximum height in feet that the rocket reaches?
Round to 3 decimal places as needed.