SOLUTION: The height h in feet of an object after t seconds is given by the function h = –16t^2 + 30t + 3. How long will it take the object to hit the ground? Round your answer to the ne

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Question 124223: The height h in feet of an object after t seconds is given by the function
h = –16t^2 + 30t + 3. How long will it take the object to hit the ground? Round your answer to the nearest thousandth.

Answer by ankor@dixie-net.com(22740)   (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 + 30t + 3. How long will it take the object to hit the ground? Round your answer to the nearest thousandth.
:
When it hits the ground h = 0, therefore:
:
-16t^2 + 30t + 3 = 0
:
Using the quadratic formula:

In this problem; a=-16, b=30, c=3

:

:

:

:
Two solutions:

:

:
t = -.095; not a solution
and

:

:
t = +1.970 seconds to hit the ground
:
:
You can substitute this value for t in the original equation and confirm
that it does, in fact, = 0, or very close to it

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