Answer to Question #277475 in Physics for Ammara

Question

Consider an automobile moving at v mph that skids d feet after its brakes lock. Calculate how far it would skid if it was moving at 2v and the brakes were locked.

Answer 1

The work done by friction depends on the kinetic energy. The kinetic energy depends on the square of the speed. So, doubling the speed leads to increasing the stopping distance fourfold.