The two disks $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash )$ have a mass of $4$ kg and $6$ kg $,$ respectively. They collide with the initial velocities shown. The coefficient of restitution is $\backslash ($ e$=0\mathrm{.}65\backslash ).$ Suppose that $\backslash (\backslash$left$($v$\_\{$A$\}\backslash$right$)\_\{1\}=5\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\},\backslash$left$($v$\_\{$B$\}\backslash$right$)\_\{1\}=7\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).($Figure $1)$

Determine the magnitude of the velocity of $\backslash ($ A $\backslash )$ just after impact.

Express your answer to three significant figures and include the appropriate units.

Determine the angle between the $\backslash ($ x x $\backslash )$ axis and the velocity of $\backslash ($ A $\backslash )$ just after impact, measured clockwise from the negative $\backslash ($ x $\backslash )$ axis.

Express your answer in degrees to three significant figures.

Determine the magnitude of the velocity of B just after impact.

Express your answer to three significant figures and include the appropriate units.

Determine the angle between the xx axis and the velocity of B just after impact, measured clockwise from the positive $\backslash ($ x $\backslash )$ axis.

Express your answer in degrees to three significant figures.