The Daytona International Speedway in Daytona Beach, Florida, is famous for its
races, especially the Daytona 500, held every February. Both of its courses feature fourstory, 31.0° banked curves in figure, with maximum radius of 316 m. If a car negotiates
the curve too slowly, it tends to slip down the incline of the turn, whereas if it’s going
too fast, it may begin to slide up the incline. (a) Find the necessary centripetal
acceleration on this banked curve so the car won’t tend to slip down or slide up the
incline. (Neglect friction.) (b) Calculate the speed of the race car.