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 = –16t2 + 36t + 9.
a. In how many seconds
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Question 249718: 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 = –16t2 + 36t + 9.
a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary.
b. What is the ball's maximum height?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The graph of the height function is a parabola, opening down because of the negative lead coefficient. The questions asked are nothing more than the coordinates of the vertex of the parabola.
The 
-coordinate of the vertex of a parabola described by an equation in the form:
\ =\ ax^2\ +\ bx\ + c)
is given by
Just plug in your numbers and calculate.
For the second part of your problem, simply calculate )
John
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