(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 (c) below, it shall be unlawful for any person to drive any motor driven vehicle over or across any portion of the city parks or public grounds where decorative vegetation or grass exists except on the designated drives and parking areas. Nothing in this section shall prohibit the driving of city vehicles over such areas for the purpose of making repairs and maintaining the city parks and public grounds. If it is necessary for private vehicles to drive across such prohibited areas, the Superintendent of Parks shall have the authority to grant permission therefor.
(c) It shall be unlawful to operate any such vehicle in any park area at a speed in excess of 20 mph.