\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}