Final answer:
While negotiating a perfectly banked curve at the correct speed, you should not feel thrown to either side because the centrifugal force is balanced by the centripetal force, resulting in a smooth ride.
Step-by-step explanation:
When you negotiate a curve that is ideally banked for your car's speed, you should not feel yourself being thrown to either side. This is because the forces acting upon you are balanced in such a way that the centrifugal force, which makes you feel like you're being pushed outward, is countered by the centripetal force generated by the banked curve and the friction between the tires and the road. The force exerted on you by the car seat would effectively be pushing you inward toward the center of the curve, preventing you from sliding outward.
In an ideally banked turn, the car and its occupants are experiencing uniform circular motion, maintaining a constant speed throughout the turn. According to Newton's first law, your body naturally wants to continue moving in a straight line, but the car's curved path causes an apparent force, making it seem as though you're being pushed outward, which is the centrifugal effect. However, when the turn is perfectly banked for the speed at which you're traveling, the net force should be directed towards the center of the circle, providing a smooth ride without the sensation of being thrown to the side.