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Physics Neglecting air resistance, an object in free fall accelerates at 32 feet per second squared. So the velocity of the object t seconds after being dropped is 32t feet per second. Suppose a ball is dropped from the top of the Sears Tower.

a. Use integration to find how far the ball would fall in the first six seconds.

b. Refer to the graph at the right. Would the ball hit the ground within ten seconds of being dropped? Explain your reasoning.

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