(a) The resolution of the county quorum court or of the governing body of a municipality, as the case may be, may contain a classification of vehicles by types and the rate of the County and Municipality Vehicle Tax levy, stated in dollars and cents, to be collected from the owners of the vehicles coming within the classifications. However, no such classification at the time of the adoption of any resolution shall include any vehicle for the use of which a state tax or fee for the registration or licensing of motor vehicles is not at the time levied upon the owner.

(b) (1) (A) The maximum vehicle tax which may be levied and collected shall not exceed five dollars ($5.00) per year per vehicle, irrespective of its classification.

(B) The owner of a vehicle, having paid the vehicle tax in any one (1) county or municipality for a particular year, shall not be required to pay the vehicle tax for the use of the same vehicle in any other county or municipality for the same year.

(2)

(A) If the county quorum court levies the full five dollars ($5.00) per year per vehicle for the next calendar year throughout the county, then no municipality in that county shall levy any tax for the same year, it being declared that the maximum amount that shall be paid by any owner for any vehicle for any year under this chapter shall be five dollars ($5.00).

(B) If the county levies the vehicle tax but excludes the municipalities therein, then any municipality may levy any amount up to the maximum amount of five dollars ($5.00).

(C) If the county levies the vehicle tax throughout the county but levies less than five dollars ($5.00), then any municipality may levy any amount up to the maximum amount which, together with the amount levied by the county quorum court, will not exceed five dollars ($5.00).