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Exercise #1: An object is fired upwards with an initial velocity of 112 feet per second. Its height, in feet above the ground, as a function of time, in seconds since it was fired, is given by the equation h (t) = 16t2 + 112t.
(a) At what height was the object fired?
(b) Sketch a general curve of this equation below.
(c) Algebraically, find the time that the rocket reaches its greatest height and the maximum height. Label these on the graph that you drew in part (b).
(d) Algebraically, determine the time when the rocket reaches the ground. Label this on your graph in (b).