1. A model rocket is launched from the roof of a building. Its flight path through the dir is modeled by h = -3t2 + 12t + 36, where h is the height of the rocket above the ground in meters andt is the time after the launch in seconds. a) What is the height of the building? b) How long does it take for the rocket to hit the ground? c) At what time does the rocket reach maximum height? What is the maximum height? d) For how long does the rocket have a height of 45m or greater?

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