Tires rolling = Static Friction
Tires Sliding = kinetic friction
To quote Wiki on Static Vs kinetic friction
So Physics states that a rolling tire should have a greater coefficient of friction with the ground then a sliding tire. which contradicts your statement of "fact".Friction forces are categorized as either static or kinetic. The coefficient of static friction μs, characterizes friction when no movement exists between the two surfaces in question, and the kinetic coefficient μk, characterizes friction where motion occurs. While static and kinetic friction differ in value (the coefficient of static friction typically being greater than that of kinetic friction), both result from the electric force acting on microscopic irregularities in two adjacent surfaces
http://en.wikipedia.org/wiki/Coefficient_of_friction
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