Bảo toàn động lượng: \(\overrightarrow {{p_Y}} + \overrightarrow {{p_\alpha }} = \overrightarrow {{p_X}} = \overrightarrow 0 \)\(\Rightarrow \overrightarrow {{p_Y}} = - \overrightarrow {{p_\alpha }} \)
\(\begin{array}{l}\Rightarrow {p_Y} = {p_\alpha }\\ \Leftrightarrow {m_Y}{v_Y} = {m_\alpha }{v_\alpha }\\ \Leftrightarrow \dfrac{{{m_\alpha }}}{{{m_Y}}} = \dfrac{{{v_Y}}}{{{v_\alpha }}}\\ \Rightarrow {v_Y} = \dfrac{{{m_\alpha }}}{{{m_Y}}}{v_\alpha } = \dfrac{4}{{A - 4}}v\end{array}\)