On a pool table, Ball A moves at $20$ cm$/$s to the right and collides with Ball B$,$ which is moving at $30$ cm$/$s to the left. The balls have identical masses. If this is a perfectly elastic collision, what is the final velocity $($magnitude and direction$)$ of each ball? You may provide your answer in units of cm$/$s$.3.$ On a pool table, Ball $\backslash ($ A $\backslash )$ moves at $\backslash (20\backslash$mathrm$\{$~cm$\}/\backslash$mathrm$\{$s$\}\backslash )$ to the right and collides with Ball $\backslash ($ B $\backslash ),$ which is moving at $\backslash (30\backslash$mathrm$\{$~cm$\}/\backslash$mathrm$\{$s$\}\backslash )$ to the left. The balls have identical masses. If this is a perfectly elastic collision, what is the final velocity $($magnitude and direction$)$ of each ball? You may provide your answer in units of $\backslash (\backslash$mathrm$\{$cm$\}/\backslash$mathrm$\{$s$\}\backslash ).$ Show all work.

Final Velocity of Ball A:

Final Velocity of Ball B: