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5. (10 points) A ball is thrown upward from a height of 256 feet above the ground, with an initial velocity of 96 feet per
5. (10 points) A ball is thrown upward from a height of 256 feet above the ground, with an initial velocity of 96 feet per second. From physics it is known that the velocity at time t is t) = 96 32!; feet per second. Use calculus methods and SHOW ALL WORK to determine the following: (a) Find 303), the function giving the height of the ball at time t. (b) How long will the ball take to reach the ground? (c) How high will the ball go
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