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Hi! I have to find the velocity as a function of displacement for some given force functions. Here is the question: Find the velocity \(\dot x\) as a function of the displacement \(x\) for a particle of mass \(m\), which starts from rest at \(x=0\), subject to the following force functions:

Physics
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One moment!
(a) \(F_x=F_0+cx\) (c) \(F_x=F_0\cos(cx)\) If I see the general technique, I might be able to get it! Thanks!
You can use this relation

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Other answers:

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Ah, thank you very much Saeeddiscover!
Hold on a moment!
Okay!
Does that work out? Is the \(x\) in \(F_x=F_0+c\large x\) a function of \(t\)?
For the second one, you may consider this way as well: |dw:1379924739346:dw|
Thank you!
Please wait a moment. I got a mistake!
Okay! If it's in that last part, I can't find it because I don't know that material yet!
|dw:1379925139264:dw|
|dw:1379925286166:dw|
That all makes sense, thank you! I'll try to apply those to my problems soon!
I think I need to head to bed, though...
Thanks again! :)
Both 1 and 2 you are given simply can be solved using the last equation I gave you. It is true and works properly.
Great! I will use that, then! Have a good day!

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