# Theoretical Mechanics Problem

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1. Sep 9, 2015

### mch

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

See LaTeX

given that $$v^2 = v_o^2 + \frac{2}{m}\int\limits_{x_o}^x F(x) \ dx\$$ find the speed v(t) and the position x(t) given that $$F = F_o$$ and $$v(t=0)=0$$. I tried plugging in $$F=F_o$$ for $$F(x)$$ in the above equation but solving this equation for v never yields any variable t. So my question is, how can I solve for v(t)?

There we go. Sorry if the spacing is a little off. I'm not good at LaTeX

Last edited by a moderator: Sep 12, 2015
2. Sep 11, 2015

### TSny

First get a relation between $v$, $x$, and $x_0$. Then note that $v = \frac{dx}{dt}$.

3. Sep 11, 2015

### andrewkirk

mch the reason your equations are all spaced out is because you used the 'display math' delimiters which are double \$ signs.

If you want to get in-line latex, which is what you need for some of your post, you can use double # instead.