SOLUTION: 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
y
Question 1171209: 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
The ball hung in the air for 5.235s
How high did Juan actually hit the ball? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Set up as -16x^2+83x+4=0. there are two solutions, the larger of which is the time the ball hit the ground after being hit. The other is negative and may be ignored.
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rewrite as 16x^2-83x-4=0
x=(1/32)(83 +/- sqrt (83^2+256)); sqrt (7145)=84.53
x=(1/32)(167.53)=5.235 seconds
x at vertex is -b/2a=-83/-32=2.59375 sec.
height was 111.64 feet
(graph shows 112 foot line)
