SOLUTION: Help.after experimentation two pacific institute physics students find that when a bottle of California wine is shaken several times, held upright, and uncorked,its cork travels ac

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Question 888939: Help.after experimentation two pacific institute physics students find that when a bottle of California wine is shaken several times, held upright, and uncorked,its cork travels according to the function defined by s(t)=-16t^2 + 64t+3, what is its height in feet above the ground t seconds after being released. After how many seconds will it reach its maximum height? What is the maximum height?

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
0=-16t^2 + 64t+3
0=-32t+64
32t=64
t=2 seconds
y=-16t^2 + 64t+3
y=-64+128+3
y=67 feet in 2 seconds

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