No truck, truck tractor, trailer, semitrailer or other vehicle except buses for transportation of persons, having a rated carrying capacity of two tons or more, shall be operated or driven for a distance of more than one block in the core area, on any day of the week during the hours of 10:00 a.m. to 6:00 p.m.; provided, a special permit may be granted by the Traffic Division of the Police Department to the person wishing to operate in the core area during Sundays and legal holidays by making application for such special permit. (Code 1981 § 43-534. Code 1995 § 142-582.)