We all know the the lighter a car is, ceteris parabis (center of gravity, tires, ect.), the faster it will stop or accelerate (assuming the car has the power to test the friction on the tires). But is this a linear relationship?

If the x-axis is the *weight* of the car and y-axis is 60-0mph starting/stopping *distance*, what would the graph look like, generally speaking?

I realize that when you lighten a car, you must adjust certain things such as the suspension. Let’s try to assume that all settings are optimal or assume such things as no suspension at all. I want to try and keep this question as simple as possible without dealing with the nagging details.

Thanks.