Any mass that is in motion will have inertia, which is a way of describing Newton's law of motion that states "a body in motion tends to stay in motion." The only way of stopping the forward motion of the car is by providing a counter-force to negate its inertia. This can be done suddenly, such as if the car struck an object, or gradually, as in the case of the car turning. The wheels, through their interaction with the ground, provide the friction necessary to redirect the car away from its forward path.
However, the ice has a very low coefficient of friction, meaning that it is unlikely to provide a strong force that resists the car's forward motion. The car has the potential to slide due to a combination of its inertia and the low friction of the ice; if the ice does not provide sufficient friction to redirect the car, it's more likely that the inertia will overcome the friction and cause the car to continue along its original path.
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