You are looking at a car coming at you, which is traveling in a circle, on a banked turn, like those found on high speed race tracks.
It is a cold winter's day, and the track has a sheet of ice on it, making the surface very slippery, even frictionless.
The turn is banked at an angle
= degrees and has a radius of m. What speed must the
car travel at to 1) not slide out of the turn (up and to the left)and 2) not slide down into the turn?