The Mayor shall appoint such number of policemen as may be prescribed by the Council by ordinance, and the Mayor shall have, at his discretion, the absolute right and power to dismiss any policeman and appoint another in his stead. The policeman shall be under the command of the Mayor and the Chief of Police, and shall perform any and all the duties incident to the office of policemen and in addition to the usual and customary duties prescribed by the laws of this State and under the provisions of this Charter required of them, it shall specially be the duty of each policeman to report to the Chief of Police, or some one designated by him to receive such report, as often as occasion demands, the condition of all streets, sidewalks, alleys, basements, back yards, buildings, unimproved lots, and all other things within the limits of said City that may come under the notice of such policemen which may relate to the health of the citizens thereof. It shall be the duty of each police officer to perform all duties of humane officer, and to exercise all functions, power and authority relating thereto which are or may be prescribed by any law of this State or ordinance of said City.