SOLUTION: victor threw a baseball into the air that modeled the equation h=-16t+36t+1,where h is the height in feet and t is the time in seconds.How long was the ball in the air if casey cau

Question 268745: victor threw a baseball into the air that modeled the equation h=-16t+36t+1,where h is the height in feet and t is the time in seconds.How long was the ball in the air if casey caught the ball 9 feet above the ground on its way down?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
victor threw a baseball into the air that modeled the equation h=-16t+36t+1,where h is the height in feet and t is the time in seconds.How long was the ball in the air if casey caught the ball 9 feet above the ground on its way down?
:
-16t^2 + 36t + 1 = 9
:
-16t^2 + 36t + 1 - 9 = 0
:
-16t^2 + 36t - 8 = 0
Simplify, change the signs, divide by -4
4t^2 - 9t + 2 = 0
Factors to
(4t - 1)(t - 2) = 0
Two solutions
4t = 1
t = sec ; ball just off the bat
and
t = 2 sec; ball is caught at 9 ft
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