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Math Help - Quadratic equation problem..

  1. #1
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    Quadratic equation problem..

    Fireworks are launched into the air. The quadratic function

    s(t)=-4t^2+50t+1

    models the fireworks' height, s(t) in metres, t seconds after they are launched.

    a) when should the fireworks explode so that they go off at the greatest height?
    b) what is that height?
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  2. #2
    Member
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    Jan 2008
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    Find the midpoint of the parabola with:

    - \frac{b}{2a}

    (That will give you the time at which it should explode.)

    And to find the height simply plug that time in for t and it will give you a maximum.
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  3. #3
    crb
    crb is offline
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    set first derivative of the function to zero and solve for t ,,,that gives u the t at max height......t=50/8 ...to find max height ,,calculate s(t) for t =50/8 .
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