Civil engineers calculate suggested speeds around corners (those yellow signs) when designing roads based upon the ability of a car to remain upon the road. The ability of the car to remain upon the road when taking a corner is determined by the centripetal acceleration of your car around the corner. If you are driving a car around a flat circular turn with a suggested speed of 15 mph, how much more likely is it that your car does not successfully take the corner (ends up in the ditch) if you were to instead drive 45 mph? Cite an equation to back up your thinking.