A highway curves to the left with radius of curvature of 44 m and is banked at 29degrees so that cars can take this curve at higher speeds. Consider a car of mass 1387 kg whose tires have a static friction coefficient 0.68 against the pavement.
How fast can the car take this curve without skidding to the outside of the curve? The acceleration of gravity is 9.8 m/s2.