Fluid Dynamics Question(not too difficult)

AI Thread Summary
The discussion centers on determining the range of water streams from different spout heights in a container, specifically focusing on the 20 cm spout, which is believed to have the greatest range. The user calculates the velocity of water exiting the 20 cm spout using the formula V=√(2gh) and finds it to be approximately 2.215 m/s. Confusion arises regarding which formula to use for calculating the range of the water stream. The user seeks clarification on the appropriate equations for distance and time in relation to the velocity calculated. Ultimately, the user successfully resolves their question with assistance from the forum.
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Homework Statement


The spout heights for a container are 10 cm, 20cm, 30cm, and 40cm. The water level is maintained at a 45 cm height by an outside supply. Which water steam has the greatest range relative to the base of the container.
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I know that the one at 20cm is the greatest range already. I want to find out the actual range though.


Homework Equations


V=radical(2gh)



The Attempt at a Solution



For 20 cm: V=radical(2gh)
V=radical(2*9.81*.25m)
V=2.215m/s
So I have the velocity but I am confused about how to find the range. Which formula do I use and what values go where?

Do I use: Vfinal^2 - Vinitial^2=2aS, with S being distance
OR
Sfinal=1/2aT^2+ViT+Si with T=time and S=distance
 
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UPDATE: Figured out the answer to my question, thanks :)
 
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