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

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) (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
:

RELATED QUESTIONS
As Juan continued his hitting practice showing off his abilities, one of the balls flew (answered by Boreal)

As Juan continued his hitting practice showing off his abilities, one of the balls flew (answered by Boreal)

Hitting the baseball over the lights Meanwhile at the ballpark Juan was practicing... (answered by rothauserc)

what is the probability of a baseball player getting 3 hits if his average is .359 b... (answered by stanbon)

one of the games at a carnival involves trying to ring a bell with a ball by hitting a... (answered by nerdybill)

One of the games at a carnival involves trying to ring a bell with a ball by hitting a... (answered by josmiceli)

Rewrite the golf equation of h(x)=-16x^2+120x to show Marc hitting the ball while... (answered by Alan3354)

Long shot distance to avoid hitting the ball out, a tennis player in one corner of the... (answered by Alan3354)

Hitting a golf ball into a tower? While on the golf course last weekend Marc hit into... (answered by Boreal)