SOLUTION: The function f gives the height of a ball ,h, above the ground (measured in feet) in terms of the number of seconds elapsed since the ball was thrown upward from a bridge that is s

Algebra.Com
Question 995259: The function f gives the height of a ball ,h, above the ground (measured in feet) in terms of the number of seconds elapsed since the ball was thrown upward from a bridge that is some distance above the ground, t. Let h=f(t) and f(t)=−16t^2+29t+285 .


After how many seconds does the ball reach its maximum height above the ground?
Thanks in advance!

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
h=f(t) and f(t)=-16t^2+29t+285 .
After how many seconds does the ball reach its maximum height above the ground?
-------------
At the vertex of the parabola, at t = -b/2a
t = -29/-32
t = 29/32 seconds

RELATED QUESTIONS

The height, h, in feet of a golf ball above the ground after being hit into the air is... (answered by Alan3354)
A Ferris wheel is 32 meters in diameter and the bottom of the Ferris wheel is 8 meters... (answered by Edwin McCravy)
If a ball is thrown straight up from the top of a building that is 407 feet high, the... (answered by Alan3354)
If a ball is thrown straight up from the top of a building that is 407 feet high, the... (answered by stanbon)
I need help with this problem. A ball is thrown from the top of a roof 320 feet above... (answered by scott8148)
I have asked this ? earlier with no response. A ball is thrown from the top of a roof... (answered by nerdybill)
The height (t) in feet above the ground, of a ball thrown into the air from the top of a... (answered by Alan3354)
Suppose that a ball is projected upward from the top of the Mart Hotel in Dallas, Texas,... (answered by lwsshak3)
Lewis Tower in Philadelphia is 400 ft. high. Suppose that a ball is projected upward from (answered by ewatrrr)