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Homework Statement
A particle of mass m moving in one dimension has potential energy [itex]U(x)=U_0[2(\frac{x}{a})^2-(\frac{x}{a})^4][/itex], where [itex]U_0[/itex] and a are positive constants.
What is the function x(t) for the position of the particle when it starts at the origin with a velocity in the positive direction equal to the escape velocity?
Homework Equations
The escape velocity is [itex]$\sqrt{\frac{2U_0}{m}}$[/itex] which escapes at x=a.
The Attempt at a Solution
I was able to determine the function for the force easily, but I ran into many problems with logs when trying to integrate it twice and ended up with logarithms that could not be paired up so that I could actually solve for x.
Having a fair amount of trouble getting the latex code to work on these forums properly... Looks like it's because of Chrome.
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