# Minimum following distance

1. Oct 1, 2015

### Alexis Cooper

1. The problem statement, all variables and given/known data
you are driving at highway speeds of 32m/s. The car in front of you suddenly brakes with an acceleration of 1.86 m/s^2. If your car can brake with an acceleration of 1.76m/s^2. What is the minimum following distance that you need before the braking in order to avoid a collision?

2. Relevant equations
i down know if this is the right approach or if I am completely off

3. The attempt at a solution
car 1: 32/1.86= 17.204 s
car:2 32/1.76= 18.18s
18.18-17.204=.976s
(.976)(32)=31.232 meters away????

Last edited: Oct 1, 2015
2. Oct 1, 2015

### SteamKing

Staff Emeritus
There's a big difference between a car 'breaking' and a car 'braking'.

3. Oct 1, 2015

### Alexis Cooper

'brake' it was a typo

4. Oct 1, 2015

### bigfooted

Your final computation is wrong. Do you know why?

How much distance does the first car travel in 17.402 seconds?
How much distance does the second car travel in 18.18 seconds?