Please solve using drawing velocity and acceleration diagrams rather than purely maths: In the mechanism shown below, crank A is rotating clockwise at $600$ rpm and at an angular acceleration of $200$rad$\frac{s}{s^2}.$

For the position shown, Find:

$($a$)$ The velocity of point $Z$ on rod $BC,$ placed as shown.

$($b$)$ The acceleration of point $Z.$

For your convenience, attached sheets for velocity and acceleration diagrams are provided.