Final answer:
The quickest ways to stop in a curve involve decelerating before reaching the curve and using the banking of the curve to aid in negotiating the turn. An ideally banked curve allows a car to take the curve at higher speeds with less reliance on tire friction.
Step-by-step explanation:
The quickest ways to stop in a curve, especially in racing contexts or when dealing with banked curves, include reducing the speed before entering the curve and using the track's banking to your advantage. One method is to decelerate before the curve which allows for more control and less reliance on friction during the turn itself. Another method is using the banked curve's angle, where the slope of the road helps you negotiate the curve; race tracks often feature steeply banked curves that can be taken at higher speeds without sliding toward the inside of the curve.
It is also essential to consider the minimum coefficient of friction needed to maintain control on a curve, especially under less than ideal conditions such as a wet or icy road surface. In the case of banked curves, an ideally banked curve is designed so that a driver can negotiate the curve at a certain speed without the aid of friction between the tires and road, which is calculated using physics principles.