Question

When Maggie applies the brakes of her car, the car slows uniformly from 12.0 m/s to 0.0 m/s in 1.50 s. How many meters before a stop sign must she apply her brakes in order to stop at the sign?

a. 9 meters
b. 18 meters
c. 27 meters
d. 36 meters

Answer 1

Maggie must apply her brakes 9 meters before the stop sign to stop at the sign.

Step-by-step explanation:

To calculate the distance before the stop sign, we can use the equation:

vf^2 = vi^2 + 2ad

Where:

• vf is the final velocity (which is 0 m/s)
• vi is the initial velocity (which is 12.0 m/s)
• a is the acceleration (which is the deceleration, since the car is slowing down. We need to convert the time from seconds to minutes, so a = (0.0 m/s - 12.0 m/s) / (1.50 s)
• d is the distance we're trying to find

Plugging in the values, we get:

0^2 = 12.0^2 + 2 * a * d

0 = 144 + (-16) * d

-144 = -16d

d = 144 / 16 = 9 meters

Therefore, Maggie must apply her brakes 9 meters before the stop sign to stop at the sign.