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The height of a free falling object at time t can be found using the function, h(t) = - 12t2 + 36t. Where h(t) is the height in feet and t is the in seconds. Find the time when the object hits the ground

  • CastleRook: Given that height of the object can be found using the function h(t)=-12t²+36t, the time taken for the object to hit the ground is calculated as follows:
    At the time the object hits the ground, height h(t)=0. Substituting this value in the equation we get:
    0=-12t²+36t
    solving for t we obtain.
    12t²=36t
    12t=36
    hence
    t=4
    thus the time taken for the object to hit the ground is 4 seconds

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