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Applied Calc- If an object is launched straight up into the air from a starting height of h_{0} feet, then the height of the object after t seconds is approximately h=-16t^2+v_{0}t+h_{0} feet, where v_{0} is the inital velocity of the object. Find the starting height and inital velocity of an object that attains a maximum height of 412 feet five seconds after being launched.
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