SOLUTION: The height of an object dropped from the top of a 64-foot building is given by h(t)=-16t^2+64. How long will it take the object to hit the ground?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The height of an object dropped from the top of a 64-foot building is given by h(t)=-16t^2+64. How long will it take the object to hit the ground?      Log On


   



Question 1153459: The height of an object dropped from the top of a 64-foot building is given by h(t)=-16t^2+64. How long will it take the object to hit the ground?
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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The object will hit the ground when


    -16*t^2 + 64 = 0   (i.e. when h(t) = 0 ).


It is the same as


    16t^2 = 64

    t^2   = 64/16

    t^2   = 4

    t     = sqrt%284%29 = 2.


ANSWER.  In 2 seconds.

Solved.