In city-owned parking lots and ramps, the Council may limit the sizes and types of motor vehicles to be parked thereon, hours of parking, and prescribed method of parking; provided that, the limitations and restrictions are marked or sign-posted thereon. It is unlawful to park or leave standing any vehicle backed into a parking place, to drive in a direction opposite the flow of traffic marked by "one-way" signs or arrows or to park any vehicle in any city-owned parking lot or ramp contrary to the restrictions or limitations marked or sign-posted therein.