What is the minimum safe following distance at highway speeds?

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In summary, the conversation discusses the minimum following distance needed to avoid a collision while driving at highway speeds. The first car suddenly brakes with an acceleration of 1.86 m/s^2 while the second car can brake with an acceleration of 1.76m/s^2. After some calculations, the minimum following distance is determined to be 31.232 meters. However, there is a discrepancy in the final computation and it is suggested to check the distance traveled by each car in the given time period.
  • #1
Alexis Cooper
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Homework Statement


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?

Homework Equations


i down know if this is the right approach or if I am completely off

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?[/B]
 
Last edited:
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  • #2
There's a big difference between a car 'breaking' and a car 'braking'.
 
  • #3
SteamKing said:
There's a big difference between a car 'breaking' and a car 'braking'.
'brake' it was a typo
 
  • #4
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?
 

Related to What is the minimum safe following distance at highway speeds?

1. What is minimum following distance?

Minimum following distance refers to the recommended distance that a vehicle should maintain behind another vehicle while driving. It is typically measured in terms of time and distance, and is an important safety measure to prevent accidents.

2. How is minimum following distance calculated?

The minimum following distance is calculated by multiplying the speed of the vehicle by a specific number. For example, the general rule of thumb is to maintain a following distance of at least one car length for every 10 miles per hour of speed. So, if you are driving at 60 miles per hour, the minimum following distance would be 6 car lengths.

3. Why is it important to maintain minimum following distance?

Maintaining minimum following distance is important because it allows for enough time for a driver to react and stop in case of sudden changes in traffic or road conditions. It also helps to prevent collisions and reduces the risk of accidents.

4. Can minimum following distance vary depending on road conditions?

Yes, the minimum following distance may vary depending on the road conditions. For example, if the road is wet, slippery, or covered in snow, it is recommended to increase the following distance to allow for a longer stopping distance.

5. How can I ensure I am maintaining minimum following distance?

To ensure you are maintaining minimum following distance, you can use the "three-second rule". This involves choosing a stationary object on the road and counting the seconds it takes for your vehicle to reach that object after the car in front of you passes it. If it takes less than three seconds, you are likely following too closely and should increase your following distance.

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