llcotp.com/1/equations/17.2.tex
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\begin{align}
\v{v}_1' &= m_2v\v{n}_0/(m_1+m_2)+(m_1\v{v}_1+m_2\v{v}_2)/(m_1+m_2), \\
\v{v}_1' &= -m_1v\v{n}_0/(m_1+m_2)+(m_1\v{v}_1+m_2\v{v}_2)/(m_1+m_2).
\end{align}