In the given figure, bar $AB$ rotates at a constant angular velocity of ${}_1=4ra\frac{d}{s}$ in the counterclockwise direction. Determine the following:

$($A$)$ The velocity and acceleration of point B$.$

$(4$ marks$)$

$($B$)$ The angular velocity of link BCD $({}_2).$

$(4$ marks$)$

$($D$)$ The angular velocity of bar DE $({}_3).$

$(4$ marks$)$

$($C$)$ The velocity of point C$.$

$(4$ marks$)$

Important Notes:

Provide a step$-$by$-$step solution; incomplete steps will result in loss of marks.

Utilize vector notation throughout your solution.