The governing bodies of counties, cities, and towns may by ordinance, whenever in their judgment conditions so require:
1. Prohibit the use of trucks, except for the purpose of receiving loads or making deliveries on certain designated streets under their jurisdiction;
2. Restrict the use of trucks passing through the city or town to such street or streets under their jurisdiction as may be designated in such ordinance. The Cities of Poquoson and Williamsburg may restrict the operation of nonscheduled buses, other than school buses, over designated streets under its jurisdiction.