Question 1066608: Hello, I am having problems with one of my algebra 2 questions. It says that I need to create a function that will give me the minimum initial upward velocity, v, required to launch water to any given height.
Previously, I solved the first part of it using the vertical motion formula and got V=16t+h/t, but the formula is not the minimum velocity, so I need help figuring out the steps to find that out. I don't want the answer, but rather a point in the right direction.
Thank you in advance!
Found 3 solutions by josmiceli, Alan3354, ikleyn:
Answer by josmiceli(19441)   (Show Source):
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! create a function that will give me the minimum initial upward velocity, v, required to launch water to any given height.
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The speed to launch something upward to a height is the same as the impact speed of something dropped from that height.
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s = at^2/2 = 16t^2 -- s in feet, t in seconds.
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t = sqrt(s/16) = sqrt(s)/4
v = at = 32t
Or  if you prefer
Answer by ikleyn(52790)  (Show Source):
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