Maximum Speed?

Now let’s look at a specific case of radial acceleration. The 2012 Audi R8 GT grips the pavement well enough to enter a curve and sustain a maximum radial acceleration of 1.0g=9.8m/s2. If this represents the maximum centripetal acceleration that can be attained without skidding out of the circular path, and if the car is traveling at a constant 45 m/s (about 101 mi/h), what is the minimum radius of curvature the car can negotiate? (Assume that the curve is unbanked.)

A more reasonable maximum acceleration for varying pavement conditions is 5.0 m/s2 . Under these conditions, what is the maximum speed at which a car can negotiate a flat curve with radius 220 m ?