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Rough Approximation The angles between final trajectories are small enough that we could approximate this as a 1D problem. Let's assume both vehicles decelerated at $a$ after impact. $$d_A=\frac{{V_A}^2}{2a}$$ $$d_B=\frac{{V_B}^2}{2a}$$ The final momentum is then: $$p=M_AV_A+M_BV_B=M_A\sqrt{2d_Aa}+M_B\sqrt{2d_Ba}$$ Conserving momentum: ...