$.$ Two smooth disks A and $B$ each have a mass of $0\mathrm{.}5$ kg $.$ Both disks are moving with the

velocities shown when they collide. The coefficient of restitution is $e=0\mathrm{.}7.$ Suppose that

$(v_A{)}_1=8\frac{m}{s},(v_B{)}_1=5\frac{m}{s}.($Figure $1)$

Determine the magnitude of the final velocity of A just after collision.

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

Determine the angle between the $$ axis and the final velocity of A just after the collision,

measured counterclockwise from the positive $x$ axis.

Express your answer in degrees to three significant figures.

Determine the magnitude of the final velocity of B just after collision.

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

Determine the angle between the $x$ axis and the final velocity of $B$ just after the collision,

measured clockwise from the negative $x$ axis.

Express your answer using three significant figures.