# Homework Help: Minimum Trailing Distance

1. Sep 5, 2008

### Argento7

Hello,

1. The problem statement, all variables and given/known data

You are driving along the New York State Thruway in a line of cars all travelling at a constant speed of 108.1 km/hr (Which I converted to 30.02 m/s). The car in front of you applies its brakes for maximum acceleration. You then apply your brakes to achieve the same maximum acceleration after only a 1 s delay due to reaction time. What distance behind the car in front of you must you be to avoid a collision?

2. Relevant equations

How can I factor in the 1s delay on the time?

All the equations for the problem are located here:
http://www.glenbrook.k12.il.us/gbssci/phys/Class/1DKin/U1L6a1.gif [Broken]

3. The attempt at a solution
I set the origin and my initial position to 0 for the car in front of you. I also had tried several times to figure out the acceleration.

Last edited by a moderator: May 3, 2017
2. Sep 5, 2008

### LowlyPion

Welcome to PF.

Hint: You don't need to know actual acceleration. Just that it is the same and yours is 1 s later.

If you plotted a graph of velocity for each car they will look the same ... except for the 1 sec delay. So long as you start deceleration before you reach the point on the road that the car ahead starts then you should maintain the same distance to stopping.

For a 1 second margin then how does that translate into distance?

Last edited by a moderator: May 3, 2017
3. Sep 5, 2008

### Kasper_NYC

Hi, you were traveling at 30.02m/s, so in 1 second you will cover 30.02m, and you need 1 second to react. So at least you have to be a 30.02 meters distance from the car that is ahead of you.

4. Sep 5, 2008

### LowlyPion

There you go. You're ready to drive safely.

5. Sep 5, 2008

### Argento7

Thank you both so much