I was teaching a kid about Elastic Head on collision and he was having some trouble deriving few relations so I am doing this post to help him and others looking for similar content.
\(\bigstar\) There is a typographical mistake below in Eq.3. The correct equation should be
\(\sf Va+{V_a}^{'}={V_b}^{'}\)
\(\bigstar\) There is one another typographical mistake in the statement just below Eq.1. The correct statement should be:
Also, in both elastic or inelastic collision momentum is conserved i.e. total initial momentum of the system is equal to the total final momentum of the system.

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just a typo

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