Car negotiating a banked curve -- centripetal force We were asked to calculate the optimum (no friction), maximum, and minimum speeds alowed for a car making a banked curve. I calculated the optimum and maximum velocities using the provided angle, radius, and coefficient of static firction. But how am i supposed to calculate the minimum speed? Should I set the frictional force in the free body diagram pointing towards the bank(outside of curve)? Any suggestions? Also, we are asked to draw the trajectory of the car going at maximum speed given a coefficient of kinetic friction. Since the friction equations are the same, should I just plug in this coefficient of kinetic friction in place of the old coefficient of static friction? lastly, would it be right to set the path going toward the wall, and crasing like I imagine it to be?