In an acrobatic stunt, man of mass mA drops from a raised platform onto the end of the l...

In an acrobatic stunt, man of mass mA drops from a raised platform onto the end of the light but strong beam with a velocity v₀. The boy of mass m_B is propelled upward with a velocity v_B. For a given ratio determine in terms of to maximize the upward velocity of the boy. Assume that both man and boy act as rigid bodies.