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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