Solve Minimum Separation Distance for Intersecting Cars

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In summary, the minimum separation distance between the two cars during their motion can be found by using the velocities of the cars and the initial separation distance between them. It would be helpful to draw a diagram and use the Pythagorean theorem to solve for the minimum distance. It is also important to show your work when asking for help in order to receive better assistance.
  • #1
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please take a look at this...

Two cars approach an intersection of two perpendicular roads. The velocities of the cars are v1 and v2. At the moment when car1 reaches the intersection, the separation distance between the two cars is d. What is the minimum separation distance between the cars during the motion?

it might seem trivial, but i need help so someone who can do this please show me how to do it?
Thx
 
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  • #2
1. Why not draw a diagram showing the positions of the cars at time t?

2. Do you see a right angled triangle?

3. Why not post your solution before asking for help so that you can get better help at PF? :rolleyes:

Cheers
mav
 
  • #3
This question was already answered in another section with your eariler query.
 

FAQ: Solve Minimum Separation Distance for Intersecting Cars

What is the minimum separation distance for intersecting cars?

The minimum separation distance for intersecting cars refers to the minimum distance that should be maintained between two cars traveling in different directions on intersecting roads to avoid collisions. It is a critical safety measure that is determined by various factors such as the speed of the cars, visibility, road conditions, and the reaction time of drivers.

How is the minimum separation distance calculated?

The minimum separation distance is calculated using a mathematical formula that takes into account the speed of the cars, the angle of intersection, and the reaction time of the drivers. This calculation is based on the assumption that both cars are traveling at a constant speed and will maintain a constant distance between them throughout the intersection.

Why is it important to maintain a minimum separation distance?

Maintaining a minimum separation distance is crucial for the safety of both drivers and passengers. It reduces the risk of collisions and allows drivers enough time to react in case of any unexpected situations on the road. It also helps to prevent traffic congestion and ensures a smooth flow of traffic.

Are there any exceptions to the minimum separation distance rule?

There are certain situations where the minimum separation distance rule may not apply, such as when cars are traveling at very low speeds, or when there is a designated turning lane for one of the intersecting roads. However, it is always recommended to maintain a safe distance from other vehicles on the road to avoid accidents.

What can be done to ensure that the minimum separation distance is maintained?

To ensure that the minimum separation distance is maintained, it is essential for drivers to follow traffic laws and regulations, including speed limits and traffic signals. Drivers should also maintain a safe following distance and avoid distractions while driving, such as using mobile phones. Additionally, proper road design and signage can also help to remind drivers of the minimum separation distance rule.

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