intermediate algebra

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A projectile is launched directly upward from the top of a 112 - foot building with an initial velocity (speed) of 96 feet per second. This translates to the h(t) = -16t^2 + 96t + 112 where h(t) is the height of the projectile in feet and t is the time in seconds after it is launched. When will the projectile hit the ground?

t = 7 seconds after it is launched

Is this correct?

  • intermediate algebra -

    16 t^2 - 96 t - 112 = 0
    t^2 - 6 t - 7 = 0
    (t-7)(t+1) = 0
    t = 7
    so yes

  • intermediate algebra -

    Thanks Damon!

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