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

Question

Quizplus · Accepted Answer

The distance covered during braking (or deceleration) is directly proportional to the square of the initial velocity when acceleration is constant. Therefore, if the initial speed is doubled (from 28 mph to 56 mph), the braking distance increases by a factor of $2^2 = 4$.

Assuming Equal Rates of Uniform Acceleration in Both Cases,how Much 56mi/h56 \mathrm { mi } / \mathrm { h }56mi/h

Assuming Equal Rates of Uniform Acceleration in Both Cases,how Much $56 \mathrm { mi } / \mathrm { h }$