# Thinking outside the line

Consider a 1-dimensional motion of a point mass particle of mass $$m=1\text{ kg}$$ which is moving in a potential with the potential energy $$V(x)=1/x^2 ~J$$. Initially the particle has velocity $$5\text{ m/s}$$ and position $$x=1\text{ m}$$. Find the position $$x$$ in m of the particle at $$t=5\text{ s}$$.

Details and assumptions

Hint: Can you figure out how to make this a simpler 2-d problem?

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