Final answer:
The maximum speed a car can go around a curve depends on various factors such as ideal speed, banking of the curve, tire friction, and car stability. On steeply banked curves, cars can go around at speeds exceeding 165 km/h.
Step-by-step explanation:
The maximum speed a car can go around a curve is determined by the ideal speed, which is the maximum safe speed that a vehicle can turn on a curve without relying on friction between the tire and the road. However, with the aid of tire friction and stable car configurations, a car can take a curve at significantly higher speeds.
For example, on steeply banked and sharp curves like those found on race courses such as the Daytona International Speedway in Florida, cars can go around the curve at speeds exceeding 165 km/h. This is due to the combination of banking, tire friction, and car stability.
Given a specific curve with a 100 m radius and banked at 65.0° with a frictionless road, the ideal speed would be calculated based on the curve's geometry and physics principles.