Randall D. Knight — Kinematics in One Dimension: Problem Problem_59

Your car’s anti-lock brake system is designed to keep the wheels from “locking” and starting to skid. The deceleration of a skidding car is less than that of a car that has the maximum braking without skidding—a topic we’ll explore in Chapter 6. In one test, a car equipped with anti-lock brakes was able to decelerate at \(7.0 \text{ m/s}^2\), while the same car without anti-lock brakes decelerated at \(4.8 \text{ m/s}^2\) while skidding. In an emergency stop at a highway speed of \(30 \text{ m/s}\), how much additional stopping distance would be needed by the skidding car compared to the car with anti-lock brakes?