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\end{equation}  Adding the initial momentums of each ball, i.e. from their starting position to the collision, will result in the initial momentum of the system. This should be approximately equal to the final momentum of the system. This is due to the principle of conservation of momentum.  %of $\langle 5, 16\rangle$  \begin{align}  \vec p\sub{1f} + \vec p\sub{2f} &= \vec p\sub{1i} + \vec p\sub{2i}\\  \vec r\sub{1f} / \Delta t * m\sub{1} + \vec r\sub{2f} / \Delta t * m\sub{2} &= \vec r\sub{1i} / \Delta t * m\sub{1} + \vec r\sub{2i} / \Delta t * m\sub{2}\\  %\vec r\sub{1f} * m\sub{1} + \vec r\sub{2f} * m\sub{2} &= \vec r\sub{1i} / * m\sub{1} + \vec r\sub{2i} / * m\sub{2}\\  \end{align}  Plugging our data in these equations results in the following initial total momentum