SOLUTION: Please help. Word problems are the worst! A ball is thrown vertically upward at an initial speed of 64 ft/sec. Its height (in feet) after t seconds is given by h(t)=t(64-16t). Aft

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Question 151517: Please help. Word problems are the worst!
A ball is thrown vertically upward at an initial speed of 64 ft/sec. Its height (in feet) after t seconds is given by h(t)=t(64-16t). After how many seconds does the ball reach its maximum height?

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given function.


Distribute


Rearrange the terms


To find the time it takes to reach the max height, use this formula: .


Start with the given formula.


From , we can see that , , and .


Plug in and .


Multiply 2 and to get .


Divide.


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Answer:

So it takes 2 seconds for the ball to reach the max height.

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