suppose we have a car on ice stuck in first gear. intuitively, I thought it should still be able attain maximum speed (in first gear) in a straight line, but it would take longer because it couldn't apply as much force before the force it applies is greater than the static friction between the car's tire and the icy surface. however, after trying some calcs (I may be doing them wrong): it seems that the icy surface would limit the car's speed because rolling resistance will soon bring the small amount of force the car can apply to accelerate to a net total of zero. that is, when the car attempts to apply force to accelerate, the current rolling resistance at a given velocity will reduce that force to zero. because force is limited by low static friction (the ice) it is unable to obtain the same velocity it could on something with greater static friction (like pavement). is this correct? if not what am I doing wrong? this is all assuming the car is stuck in first gear (I can't quite wrap my head around how higher gears would work, but it seems that they essentially 'store' inertia in another form different from the inertia in the car's tires).