- #1

WindScars

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**"In an empty universe, two particles, A and B, are instantly created at time=0s with an arbitrary position, mass, charge and velocity. They interact by electromagnetism and nothing else. How to find their positions in function of time?"**

I have attempted solving it this way: their positions are the an integral of their velocities, right? Their velocities are an integral of their accelerations. Their accelerations are a function of their distances, that is a function of their positions. So in the end I had something like:

[itex]posA(t) = \int_0^t \int_0^t(\frac{k*qA*qB}{|posA(t)-posB(t)|²*mA}) dtdt[/itex]

Well its probably wrong and even if it were right Id have no idea of how to solve it. But you got the idea. Thoughts please.