(a) Motor vehicles, including any vehicle licensed to operate on public streets, roads and highways and motorbikes, go-carts, snowmobiles and other motorized off-the-road vehicles shall be operated in a safe and prudent manner at all times in park areas.
(b) Except as provided in division (d) below, it shall be unlawful for any person to park any motor vehicle in any area not designated for such purpose.
(c) Except as provided in division (d) below, it shall be unlawful for any person to operate any motor vehicle within any city park except upon roads, drives and parking areas established by the city.
(d) Divisions (b) and (c) above shall not apply to authorized city employees while engaged in the maintenance and care of the park.
(e) It shall be unlawful to operate any such vehicle in any park area at a speed in excess of 20 mph.