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Math Help - vertex of parabola

  1. #1
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    vertex of parabola

    At a time t seconds after it is thrown up in the air, a tomato is at a height (in meters) of f(t)=−49t^2+60t+3 m.

    What is the average velocity of the tomato during the first 5 seconds?
    How high does the tomato go?
    How long is the tomato in the air?
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  2. #2
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    forgot a decimal in your function ...

    f(t) = -4.9t^2 + 60t + 3

    V_{avg} = \frac{f(5) - f(0)}{5 - 0}

    t-value for the vertex of f(t) (time at the top of its trajectory) is \frac{-b}{2a} ... then find f\left(\frac{-b}{2a}\right)

    total time ... set f(t) = 0 and solve for t
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  3. #3
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    How do you know what b and a are?
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  4. #4
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    never mind i got it, thanks
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