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4 The height in feet of a football that is kicked can be modeled by the function f x 16x 64x where x is the time in seconds after it is kicked Show all work and write your answer mathematically and in words a For what time s t is the ball above a height of 48 feet above the ground 5 An object is launched from ground level directly upward at a rate of 144 feet per second The object s height can be modeled with the function h t 16t 144t Show all work and write your answer mathematically and in words a What values of t is the object at or above a height of 288 feet b How long is the object at or above 288 feet 6 The function g t 2 23 7t 4 9t models the height in meters of a pumpkin t seconds after it has been launched from a catapult Show all work and write your answer mathematically and in words Write and solve a quadratic inequality that represents when the pumpkin is within 15 feet from the ground 7 The path of a large stone fired from a catapult can be modeled by the equation y 00545x 1 145x where x is the distance in yards and y is the height in yards Use a graph to answer the following Find the maximum height of the stone Find the distance s x when the height is greater than 50 yards
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