SOLUTION: The height h in feet of an object after t seconds is given by the function h = - 16t2 + 80t + 6. How long will it take the object to hit the ground? Round y

Question 1158980: The height h in feet of an object after t seconds is given by the function
h = - 16t2 + 80t + 6.
How long will it take the object to hit the ground? Round your answer to the nearest thousandth.

Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.


For it, you need to solve this quadratic equation


    -16*t^2 + 80t + 6 = 0.

Or

    16*t^2 - 80t - 6 = 0


     =  = .


You do not need negative root - it makes no sense.


You need only positive root  t =   = 5.074.   (rounded)


ANSWER.  5.074 seconds.

Solved.

RELATED QUESTIONS
The height h in feet of an object after t seconds is given by the function h = �16t2 +... (answered by stanbon)

The height h in feet of an object after t seconds is given by the function: h = �16t2 + (answered by mananth,josmiceli)

The height h in feet of a ball t seconds after being tossed upward is given by the... (answered by ikleyn)

h = �16t2 + 40t + 8. The height h in feet of an object after t seconds is given by the (answered by josmiceli)

the height in feet of an object thrown upward is given by the equation h=80t-16t^2, where (answered by stanbon)

The height(h) in feet of a ball(t) seconds after being tossed upward is given (answered by ikleyn)

The height h in feet of an object after t seconds is given by the function h =... (answered by Nate)

The height h in feet of an object after t seconds is given by the function... (answered by stanbon)