This question was a two parter A car of mass 422 kg travels around a flat, circular race track of radius 178 m. The co- efficient of static friction between the wheels and the track is 0.135. The acceleration of gravity is 9:8 m=s2 : What is the maximum speed v that the car can go without flying off the track? I got vmax as 15.3458 m/s The same car now travels on a straight track and goes over a hill with radius 200 m at the top. What is the maximum speed that the car can go over the hill without leaving the road? I'm not sure how to go about tackling that problem, I tried just substituting 200 m in for the radius but that doesn't work. This one was also a two parter A civil engineer is asked to design a curved section of roadway that meets the following conditions: With ice on the road, when the coefficient of static friction between the road and rubber is 0.23, a car at rest must not slide into the ditch and a car traveling less than 50 km=h must not skid to the outside of the curve. At what angle should the road be banked? I got the angle to be 12.95 What is the minimum radius of curvature of the curve? I tried using tan(theta)=v²/rg, but again I was wrong. Any help would be greatly appreciated.