Velocity as a function of position x

AI Thread Summary
The discussion revolves around finding the velocity of a particle as a function of position x, given a force equation F(x) = Fo + cx. Participants emphasize the importance of integrating with respect to x rather than t, highlighting the need to express acceleration in terms of x. The correct approach involves using the chain rule to derive the relationship between velocity and position, leading to the integration of both sides of the equation. The conversation also touches on common mistakes in integration and the significance of handling sums correctly during the process. Ultimately, the participants guide the original poster towards the correct formulation of the velocity function.
  • #51
Bit from what I can gather yes I got what you have
 
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  • #52
KiNGGeexD said:
Yea haha!

What I wrote before was before I isolated for the v term:)

I will need to get back to you on those formula because it is hard to decipher on my phone:(
I don't know what you mean. The v terms was on the left hand side by itself. It looks pretty isolated to me.

If it's hard to use LaTex, you can still use parentheses, to make the equation unambiguous.
The first equation I wrote in the previous post will look like this:
v^2/2=(Fo*x+cx^2/2)/m.
The second one
v^2/2=(Fo*x)/m + (c*x^2)/(2m)

Now you have to do something about the 1/2 in the v term and then extract square root.
And you are done.
 
  • #53
Yea that's what I done but I didn't separate the equation into two separate parts over m;)
 
  • #54
:) didn't mean to do a wink lol
 
  • #55
No problem. ;)
 
  • #56
Thanks again! You've been great:)
 
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