SOLUTION: A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h=-16t^2+36t+9. a. In how many seconds does the ba

Algebra ->  Finance -> SOLUTION: A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h=-16t^2+36t+9. a. In how many seconds does the ba      Log On


   



Question 1097173: A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t
seconds is given by the function h=-16t^2+36t+9.
a. In how many seconds does the ball reach its maximum height? If necessary, round to
the nearest hundredth.
b. What is the maximum height of the ball?
A 1.13 s; 69.75 ft
B 1.13 s; 29.25 ft
C 1.13 s; 31.5 ft
D 2.25 s; 9 ft

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t
seconds is given by the function h=-16t^2+36t+9.
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a. In how many seconds does the ball reach its maximum height? If necessary, round to the nearest hundredth.
Max height is the vertex of the parabola.
Can you find that?
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b. What is the maximum height of the ball?
It's the value of h at the time from above.