Problem $15\mathrm{.}46$ modified

The plate shown moves in the $xy$ plane. It is known that $.$

Determine the angular velocity of the plate. $=$ k $(ra\frac{d}{s})$

Determine the velocity of point $A.v_A=$ i $+j($ir $r^{\text{'}}s$ s$)$

Determine the velocity of point B$.v_B=$ i$+j($in$/$s$)$

Determine the velocity of point $C*v_C=$ i$+$ j $($in$/$s$)$