Problem $15\mathrm{.}158$ modified

Four pins silde in four separate slots cut in a circular plate as shown. Each pin maintains the same velocity $u$ of $2\mathrm{.}1\frac{m}{s}$ relative to the plate when the plate rotates about $O$ with a constant counterclockwise angular velocity $$ of $4\mathrm{.}9ra\frac{d}{s}.$ The distance $r$ Is $0\mathrm{.}5$ m $.$ Determine the velocity and acceleration of pin $P_3$ relative to the fixed frame $xY.$