Q$.1$ A pin $,$ C$,$ is connected to a collar that slides along a straight rod, $\backslash ($ A B $\backslash ).$ The pin is also connected to another collar that can slide along a circular rod as shown in Figure Q$1.$ If the rod AB rotates anticlockwise at a constant angular velocity, $\backslash (\backslash$omega$=\backslash )3$ rads $\backslash (^\{-1\}\backslash ),$ determine:$-$

$($a$)$ the linear velocity of the pin

$($b$)$ the linear acceleration of the pin when the angle, $\backslash (\backslash$theta $\backslash ),$ is $\backslash (45^\{\backslash$circ$\}\backslash ).$