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Math Help - Writing Equations - Quadratics 3

  1. #1
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    Writing Equations - Quadratics 3

    Ted popped a baseball straight up with an initial upward velocity of 48 ft/s. The height, h, in feet, of the ball above the ground is modeled by the function h(t) = 3 + 48t - 16t^2. How long was the ball in the air if the catcher catches the ball 3 ft above the ground? Is your answer reasonable?

    My attempt:

    h(t) = 3 + 48t - 16t^2

    3(t) = 3 + 48t - 16t^2

    This is how much I have done, I'm not sure if I did that right, I think I need to isolate t, but I do not know how to do that algebraically.
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Writing Equations - Quadratics 3

    You want to set h(t)=3, then take the root such that t\ne0. You would have:

    3=3+48t-16t^2

    Subtract 3 from both sides, factor out 16t, and equate the other factor to zero to find the root you want. What do you find?
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