# If we stand on top of a 160-foot building and throw a ball up into the air with an initial velocity of 22 feet per

If we stand on top of a 160-foot building and throw a ball up into the air with an initial velocity of 22 feet per second, then the height of the ball above the ground is given by the following. H = −16t 2 + 22t + 160 Here t is time in seconds, and H is measured in feet. (a) Complete the following table giving the value H at time t . t H 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 2.75 3 3.25 3.5 3.75 4 b) Make a graph of H versus t from 0 to 4. (c) Find the value of t that maximizes H . (Round your answer to two decimal places.) t =  sec (d) Find the maximum value of H . (Round your answer to two decimal places.) H =  ft Explain the meaning of the number in practical terms. (e) At what times t is the height of the ball 165 feet? (Round your answers to two decimal places.) t = sec (smaller value) t = sec (larger value)

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