3. A car of mass m is driving on a road that is curved with a radius R. The static friction coefficient between the road and the tires is µs.

a) Find an expression for the maximum velocity for which the car will not skid. b) Choose a curved road that you have driven on. Tell me where the road is and what the speed limit is for the curved section. Use google maps to estimate the radius of the curve. c) Use the equation from part a to find the maximum speed you can drive on this road if its i) dry ii) wet iii) icy.