SOLUTION: Hitting the ball into the parking lot As Juan continued his hitting practice showing off his abilities, one of the balls flew over the center field stands and into the parking

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Question 1026155: Hitting the ball into the parking lot
As Juan continued his hitting practice showing off his abilities, one of the balls flew
over the center field stands and into the parking lot. “Did you see that shot”, he yelled
at the girls. “The ball hung in the air for at least 10 seconds”, he exclaimed.
The formula for this hit is: h(x) = -16x^2+83x+4 where h is the height of the ball and x is the number of seconds the ball is in the air.
How long did the ball hang actually hang in the air?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
We want to determine the value of x when h(x) = 0
:
-16x^2 +83x + 4 = 0
:
use quadratic formula to determine the value for x
:
x = ( -83 + sqrt(83^2 - 4*(-16)*4) ) / (2*(-16) = −0.047753182
:
x = ( -83 - sqrt(83^2 - 4*(-16)*4) ) / (2*(-16) = 5.235253182
:
we want the positive value for x since time runs forward
:
the ball hung in the air for approx 5.2 seconds
: