Banked curves are designed so that the radial component of the normal force on the car rounding the curve provides the centripetal force required to execute uniform circular motion and safely negotiate the curve. A car rounds a banked curve with banking angle θ = 33.6° and radius of curvature 157 m. (a) If the coefficient of static friction between the car's tires and the road is μs = 0.382, what is the range of speeds for which the car can safely negotiate the turn without slipping?