A rocket is launched vertically from a platform that is 48 ft from the ground with an initial velocity of 32.
(a) Write a quadratic function that shows the height, in feet, of the rocket t seconds after it was launched.
(b) Determine the rocket’s maximum height and the amount of time it took to reach its maximum height, and the amount of time it was in the air. Be sure to show your work to receive credit.
(c) Graph on the coordinate plane.