A toy rocket is launched from the top of a building 84 feet tall at an initial velocity of 206 feet per second.

a) Give the function that describes the height of the rocket in terms of time t.
b) Determine the time at which the rocket reaches its maximum height, and the maximum height in feet.
c) For what time interval will the rocket be more than 213 feet above ground level?
d) after how many seconds will it hit the ground?