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As we know that, in an oblique impact, the direction of impact is always along the line of impact, but not perpendicular to it.. And it's obvious that the line of impact lies in the x axis passing through the center of mass of the objects... So, if we don't know the direction of the line of impact, then we can easily take it along the "x" axis....

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Q: How should we analyze an oblique impact if the direction of line of impact is not known?
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