shers correct and with correct units.

$3.$ The shown position, the angular velocity of the wheel is $3ra\frac{d}{s}$ and $=5ra\frac{d}{s^2},$ both counterclockise. Notice that link BC is horizontal in the given position.

a$)$ Determine the velocity of the piston $C$ and ${}_{BC}$ using instantaneous centers of zero velocity, show all

b$)$ Determine the acceleration of point $B.$ Clearly show the acceleration of $B$ and label everything using required sketches. $25\%$

c$)$ Use relative accelerations and vectors and express the general plane motion of link BC as $a_{?}$ translation plus a rotation, for accelerations of points $B$ and $C.$ Assume a direction for ${}_{BC}.$ a sketch. $25\%$

Determine the acceleration of point $C$ and the angular acceleration ${}_{BC}$ of link $BC.$ Make the required dion....... and clearly show all vectors, dimensions, and directions. $50\%$