A toy rocket is launched from the top of a building 99 feet tall at an initial velocity of 161 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 434 feet above ground​ level?
​d) After how many seconds will it hit the​ ground?