Two cars are traveling at the same speed and hit the brakes at the same time.Car A decelerates (decreases its velocity)at twice the rate of car B.If car A travels a distance D before stopping,how far does car B travel before stopping?
A)4D
B)2D
C)D
D)D/2
E)D/4

Question

Quizplus · Accepted Answer

Since car A decelerates at twice the rate of car B, car B will take longer to stop, covering more distance. According to the equation $d = \frac{1}{2}at^2$ for distance covered under constant acceleration (or deceleration), if the deceleration $a$ is halved (as for car B), the distance $d$ is doubled, assuming the initial speeds and time to stop are the same.

Two Cars Are Traveling at the Same Speed and Hit