3. A rocket is launched vertically from the ground with an initial velocity of 64 . (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, the amount of time it took to reach its maximum height, and the amount of time it was in the air. Show work for all steps. (c) Graph on the coordinate plane using important information from part b.