Question

a fountain that is 5 feet tall sprays water into the air withan upward velocity of 22ft/s. What function gives the height h of the water in feet t seconds after it is sprayed upward? what is the maximum height of the water

Answer 1

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Below is the solution:

Equation:
h(t) = -16t^2+22t+5

Max occurs when t = -b/2a = -22/(2*-16) = 11/16 seconds

Max height = h(11/16) = 12.563 ft.