No person shall drive or park any vehicle in any park or playground except in spaces set aside and designated as parking areas by the Department of Parks and Recreation. Recreational vehicles such as ATVs, side by sides, dirt bikes, minibikes, or snowmobiles are also prohibited in parks unless permitted and/or operated by Parks and Recreation staff. Driving and parking on all streets and public ways within any park, or bordering on the same, shall be subject to all the provisions of Chapter 70 of this code regulating traffic generally, and to such additional rules and regulations as the city shall adopt pursuant to this chapter.