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

Question

Mathematics

Yoselin Horne

29 April, 12:40

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

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Answers (1)

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Timothy Klein · 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