So I was driving in my car thinking to myself "I wonder how far I would go (before starting to roll backwards) if I just took my foot off the brakes" I tried to figure it out myself but could not. SO I am asking the smartest people in the world, you guys!
Parameters: Write a generalized equation representing the distance a car travels based on f(x) and any other physical constants/variables needed. f(x) is a function that represents the cross section of the road you are traveling on. Thus the slope at any given point represents the angle of the road. You may treat the car as a box sliding with friction.