As a peace officer, a policeman shall have within the corporate limits of the city all of the powers invested in law-enforcement officers by statute or common law. He shall also have power to serve all civil and criminal process that may be directed to him by any officer of the General Court of Justice and may enforce the ordinances and regulations of the city as the council may direct. (Code, s. 3811; Rev., s. 2927; C.S., s. 2642; 1971, c. 698, s. 1; c. 896, s. 4.)