The police officer who pulls Oliver over is Hank Kimball's cousin. He rambles just like Hank, and his voice has been dubbed by Alvy Moore. Coincidentally, the actor who plays the officer, Jack Bannon also served as dialogue coach during the first season.
The motorcycle patrolman is played by Jack Bannon, the son of Bea Benaderet, who starred as Kate Bradley in Petticoat Junction (1963), with guest appearances in that same role for this series. Jack Bannon also had multiple guest spots in another series from the 1960s that his mother had a prominent part in: The Beverly Hillbillies (1962).