Question

A baseball is thrown into the air from a height of 5 feet. The ball reaches a maximum height of 43.5 feet and spends a total of 3.2 seconds in the air. Write the equation that models the height of the baseball? Assume that acceleration due to gravity is –16 ft/s2

Answer 1

h = 5 + ut - 16t^2
When the balls falls back to the ground, h = 0
0 = 5 + 3.2u - 16(3.2)^2
0 = 5 + 3.2u - 163.84
0 = 3.2u - 158.84
3.2u = 158.84
u = 158.84/3.2 = 49.6 ft/s

Required equation is
h = 5 + 49.6t - 16t^2

Answer 2

h(t) = -16t2 + 49.64t + 5 (which is letter C )

Explanation:

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