Assuming equal rates of uniform acceleration in both cases, how much further would you travel if braking from 56 mi/h to rest than from 28 mi/h?
A) 3.2 times farther
B) 4 times farther
C) 5.2 times farther
D) 4.8 times farther

Question

Assuming equal rates of uniform acceleration in both cases, how much further would you travel if braking from  56 mi/h  to rest than from  28 mi/h?
A)  3.2  times farther
B) 4 times farther
C)  5.2  times farther
D)  4.8  times farther

Quizplus · Accepted Answer

The distance covered during braking (deceleration) can be found using the formula $d = \frac{v^2}{2a}$, where $d$ is the distance, $v$ is the velocity, and $a$ is the acceleration. Since the acceleration is constant in both cases, the ratio of the distances covered when braking from 56 mi/h to 0 and from 28 mi/h to 0 is $(56^2) / (28^2) = 4$. This means you would travel 4 times farther when braking from 56 mi/h compared to 28 mi/h.

Assuming Equal Rates of Uniform Acceleration in Both Cases, How