If the rod is attached with ball-and-socket joints to smooth collars A and B at its end points, determine the velocity of B at the instant shown if A is moving upward at a constant speed of v_A = 5 ft/s. Also, determine the angular velocity of the rod if it is directed perpendicular to the axis of the rod.

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X- 2 ft B A Z -6 ft- VA = 5 ft/s 3 ft