Modeling the Flight of a Baseball


The Problem
A baseball is hit upward with an initial velocity of v sub 0 = 80 feet per second (or about 55 miles per hour) and leaves the bat with an initial height of h sub zero= 3 feet.
a). Write a formula s(t) that models the height of the baseball after t seconds.
b). How high was the baseball after 2 seconds?
c). Find the maximum height of the baseball. Support your answer graphically.

a. If the initial velocity of an object is v sub zero feet per second and its initial height is h sub zerofeet, then the height, in feet, of the object after t seconds can be modeled by the equation s of t = -16 t squared  + v sub zero t + h sub zero.

Now v sub zerois given to be 80 and h sub zerois given to be 3. Substituting these values into function s gives .

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