SOLUTION: The height h in feet of an object after t seconds is given by the function h=-16t^2+60t+4. How long will it take the object to hit the ground? Round your answer to the nearest tho

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Question 62044: The height h in feet of an object after t seconds is given by the function h=-16t^2+60t+4.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth.
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+60t+4.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth.
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When the object hits the ground the height will be zero.
Solve for t when the height is zero.
-16t^2+60t+4=0
Use the quadratic formula to get:
t=[-60+-sqrt(60^2-4(-16)(4)]/(-32)
t=[-60+-sqrt(3856)]/(-32)
t=[-60-sqrt(3856)]/(-32)
t=3.816 seconds
Cheers,
Stan H.