A civil engineer wishes to redesign a curved roadway in such a way that a car will not have to rely on friction to round the curve without skidding. In other words, a car moving at the designated speed can negotiate the curve even when the road is covered with ice. Such a ramp is usually banked, meaning the roadway is tilted toward the inside of the curve. Assume the designated speed for the ramp is to be 14.4 m/s(32.2 mi/h) and the radius of the curve is 36 meter.
For the above example, assume that the coefficient of static friction between the tires and the road is 0.37. Find what maximum speed could a car negotiate the exit ramp without skidding?