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. Which equation models the height of the baseball? Assume that acceleration due to gravity is –16 ft/s^2. h(t) = 16t^2 + 49.64t + 5 h(t) = -16t^2 + 5t + 49.64 h(t) = -16t^2 + 49.64t + 5 h(t) = 16t^2 + 5t + 49.64

Answer 1

Answer:

h(t) = -16t^2 + 49.64t + 5

Step-by-step explanation:

The above choice is the only one that makes the height function be a downward-opening parabola and gives h(0) = 5, the initial height of the baseball.

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Any function starting with 16t^2 will not have any positive x-intercepts.