Suppose you are driving along the highway at a speed $v$ feet per second. You apply the brakes which cause a constant deceleration $A$ feet per second squared. You come to a stop after seconds. (Enter an expression that assumes a positive value for $A$.

A typical safe deceleration of a moving car is about one half $g$, half the acceleration of gravity, i.e., 16 feet per second squared. Suppose you are driving at 60 miles per hour. You press on the brakes and decelerate at 16 feet per second squared. It will take you seconds to stop. During that time you will travel feet.

Assuming that it takes you 1 second to react to an emergency before you start braking, at the same initial speed, and the same constant deceleration, you will travel a total of feet, before coming to a stop.