I have a general question about circular motion of a car on a frictionless bank. What would be the function of the path (what is the shape?) of the car entering a bank with a velocity v, and is slipping upwards because the v is too high to for mv^2/r = Nsinθ. The initial velocity is going straight into the page (When the cross section view of the bank is made) The path is to be studied from when it enters the bank to where it is moving in circular motion. Please describe the steps needed to solve this problem.