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math

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a soccer ball is kicked from the ground. after travelling horizontal distance of 35m,it just pass over a 1.5m tall fence before hitting the ground 38m from where it was kicked. Determine the equationi of a quadratic function that can be used to model the parabolic path of the ball.

  • math -

    since the x-intercepts are 0 and 38
    we can create the equation to be

    height = a(x)(x-38)
    but when x = 35 , height = 1.5

    1.5 = a(35)((35-38)
    1.5 = a(-105)
    a = 1.5/-105 = -1/70

    height(x) = (-1/70)(x)(x - 38)

    convert to any suitable form that is needed.

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