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A cannonball is fired across a field. Its height above the ground after t seconds is given by -16t^2+104. How long does it take for the ball to reach its maximum height of 169 feet?

  • math -

    169 = -16t^2 + 104
    16t^2 = -65

    no solution,
    it will never reach 169 ft, the maximum height is 104 ft when t = appr 2.5 seconds

  • math -

    If -16t^2+104 mean :

    - 16 t ^ 2 + 104 t

    then :

    in google type :

    quadratic equation online

    Wfen you see list of results click on :

    Free Online Quadratic Equation Solver: Solve by Quadratic Formula

    Select one of method.

    Then in rectangle type :

    - 16 t ^ 2 + 104 t = 169

    and click option : solve it !

    You will see solutions step - by - step

    In this case solution are :

    t = 13 / 4 sec = 3.25 sec

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