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)4 times farther
B)3.2 times farther
C)4.8 times farther
D)5.2 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)4 times farther
B)3.2 times farther
C)4.8 times farther
D)5.2 times farther

Quizplus · Accepted Answer

The distance traveled during uniform acceleration is given by the equation:

d = (v^2 - u^2)/(2a)

where d is the distance, v is the final velocity, u is the initial velocity, and a is the acceleration.

Assuming equal rates of uniform acceleration, the only variables that change are the initial velocities.

Let's calculate the distance traveled for both cases:

- Braking from 56 mi/h:

d = (0 - 56^2)/(2a) = 1568/a

- Braking from 28 mi/h:

d = (0 - 28^2)/(2a) = 392/a

Now we can compare the distances:

d(56 mi/h)/d(28 mi/h) = (1568/a)/(392/a) = 4

Therefore, braking from 56 mi/h results in traveling 4 times farther than braking from 28 mi/h. The correct answer is A) 4 times farther.

Assuming Equal Rates of Uniform Acceleration in Both Cases,how Much