Final answer:
When you increase your speed while cornering, the centripetal acceleration increases, requiring more force to maintain the curve. Even on ideally banked curves, you feel a force toward the center due to the car seat, with the centrifugal force giving the sensation of being pushed outward.
Step-by-step explanation:
If you increase speed when cornering, you should also be aware of the centripetal acceleration, which is greater at higher speeds and in sharp curves. Centripetal acceleration is proportional to the square of the speed, which means that if you double your speed, the acceleration increases by a factor of four. This could result in a greater force required to maintain the curve and could impact the handling of the vehicle.
It's also interesting to note that when negotiating a curve that is ideally banked for your car's speed, although you may not feel yourself being thrown to either side, there is still a force exerted on you by the car seat. This force acts toward the center of the curve, preventing you from sliding outward. The sensation that you are being pushed outward is due to a fictitious force called centrifugal force, which is a result of your body's tendency to maintain its straight-line motion (Newton's first law) while the car is turning.