How can I solve for v(t) when given F=Fo and v(t=0)=0?

[mch]

Homework Statement

Homework Equations

The Attempt at a Solution

See LaTeX[/B]

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

 

[TSny]

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)?

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

 

[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.