C. The driver is looking at her phone and has a total reaction time of 4.6 seconds as the car is moving at a constant speed of 11 m/s. If the driver slams on her brakes and slows down at a rate of -8.2 m/s2, what is the stopping distance for the car in this situation

Respuesta :

Answer:

The stopping distance for the car when the driver slams on her brakes is 7.38 m.

Explanation:

The distance traveled for the car after stopping can be found using the following equation:

[tex] v_{f}^{2} = v_{0}^{2} + 2ad [/tex]

Where:

vf is the final speed = 0 (it stops)

v₀ is the initial speed = 11 m/s

a is the acceleration = -8.2 m/s²

d is the distance =?

When the driver slams on her brakes the distance traveled is:

[tex]d = -\frac{v_{0}^{2}}{2a} = -\frac{(11 m/s)^{2}}{2*(-8.2 m/s^{2})} = 7.38 m[/tex]

 

Therefore, the stopping distance for the car when the driver slams on her brakes is 7.38 m.

I hope it helps you!