At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant angular velocity ω₁, while at the same instant the arm is rotating upward at a constant rate ω₂. If the conveyor is running at the rate r' = v which is increasing at the rate r'' = a, determine the velocity and acceleration of the package P at the instant shown. Neglect the size of the package.

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Given: @01 = 6 V = 5 rad S ft S r = 6 ft 02 = 4- a = 8 rad S ft 2 S 9 = 45 deg