SOLUTION: The height h in feet of an object after t seconds is given by the function h = –16t^2 + 90t + 3. How long will it take the object to hit the ground? Round your answer to the

Algebra ->  Linear-equations -> SOLUTION: The height h in feet of an object after t seconds is given by the function h = –16t^2 + 90t + 3. How long will it take the object to hit the ground? Round your answer to the      Log On


   



Question 89477: The height h in feet of an object after t seconds is given by the function
h = –16t^2 + 90t + 3.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth, and explain which solution is the correct one.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The height h in feet of an object after t seconds is given by the function
h = –16t^2 + 90t + 3.
How long will it take the object to hit the ground?
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h=0 when the object is on the ground.
-16t^2+90t+3 = 0
t = [-90+-sqrt(90^2-4*-16*3)]/-32
t = 5.66 seconds
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Cheers,
Stan H.