# Estimating Speed and Distance for Traffic Light Troubles

• limitapproaches0
In summary, the data you need to complete this assignment is to measure how long the yellow light lasts on different traffic lights and determine the maximum acceleration of cars. Additionally, you need to calculate the speed limit that corresponds to the realistic speed of the cars.
limitapproaches0
Your task in this assignment is to estimate how fast you would have to be driving and at what distances from the traffic light you get in trouble. It is clear that if you are very far, then you can always stop, and if you are very close, then you can always pass with the yellow. But there is an in-between region that is problematic.

First, you should recall why this happens. This is the part of an investigation where you identify the main problem and its general features. I suggest that you review your notes of chapter two when we talked about this problem and review the textbook.

Then, you should go into specifics. The answer to the problem depends on how long the yellow light stays on, the maximum forward and backward (breaking) accelerations of the car. In class we just made up some numbers to see how the problem worked, but you should try to get real numbers here. This is a case-study.

So, you should get real data on how long the yellow light lasts on different traffic lights and what the maximum acceleration of cars is (some data on real power output and car masses may help). The size of the intersection also matters, since if you are trying to stop, then you should stop before the intersection and if you are trying to pass, then you must clear the whole intersection. You may also want to consider the driver's reaction time.

Finally, you should worry about the maximum speed of the car. If, in order to pass the intersection, the car must "floor the accelerator", then you should take into account that after reaching its maximum velocity it just moves with constant velocity.

Your final result should be some data specifying:

1. The velocity where you start getting into trouble,
2. The range of distances where you run into trouble,
3. List those results for several types of traffic lights (depending on how long its yellow light lasts), and several types of cars, using standard size of intersection and average reaction time.

yah this is my assignment and i ve been trying for about 2 weeks now and don't understand this

Have you gone to your teacher to ask for help? If you have been given an assignment and after two weeks have absolutely no idea what to do, then something is seriously wrong and your teacher needs to know that!

limitapproaches0 said:
Your task in this assignment is to estimate how fast you would have to be driving and at what distances from the traffic light you get in trouble. It is clear that if you are very far, then you can always stop, and if you are very close, then you can always pass with the yellow. But there is an in-between region that is problematic.
...
Then, you should go into specifics. The answer to the problem depends on how long the yellow light stays on, the maximum forward and backward (breaking) accelerations of the car. In class we just made up some numbers to see how the problem worked, but you should try to get real numbers here. This is a case-study.

So, you should get real data on how long the yellow light lasts on different traffic lights and what the maximum acceleration of cars is (some data on real power output and car masses may help).
Hopefully, you at least understood you needed to gather data and have already spent a little time at intersections timing the yellow lights and determining how the big the intersections are.

That might be the most interesting part. The assignment mentions a lot about 'data' and doing calculations, but I would suspect behavior has a lot to do with results. In other words, if a person knows they'll make it through the yellow light, they're unlikely to speed up enough to give the person behind them time to get through regardless of how much acceleration the person behind has. Doing this on a Monday morning might even be more interesting. I wonder how many times you see coffee splash against the windshield when an 'over-conservative' driver actually stops at a yellow.

If you're real good, you might be able to clock vehicles going through the intersection and determine their average speed. I doubt the speed limit reflects a realistic speed, but it might be the best estimate you can get (The Colorado Front Range has a lot of technically oriented folks - we all think speed limit signs use a logarithmic scale. We also handle yellow lights based on the principle of the Doppler Effect - if you speed up, the light looks greener).

Last edited:
Speaking of yellow traffic lights, did you hear about the physics major who, when approaching a yellow traffic light, drove even faster towards it, hoping it'll appear green?

OK, OK... you may put me back into my cage now...

:)

Zz.

ZapperZ said:
Speaking of yellow traffic lights, did you hear about the physics major who, when approaching a yellow traffic light, drove even faster towards it, hoping it'll appear green?

Reminds me of my favorite bumper sticker: "If this sticker is blue, you're driving too fast." The bumper sticker is red, of course.

## 1. How do traffic lights estimate the speed and distance of vehicles?

Traffic lights use a variety of technologies such as radar, video cameras, and in-ground sensors to estimate the speed and distance of vehicles. These technologies allow the traffic light to detect the presence and movement of vehicles and adjust the signal timing accordingly.

## 2. Can traffic lights accurately estimate the speed and distance of all vehicles?

Traffic lights are designed to estimate the speed and distance of typical vehicles on the road, such as cars, trucks, and motorcycles. However, some vehicles with unique characteristics or modifications may not be accurately detected by the traffic light's sensors.

## 3. How do traffic lights use speed and distance estimates to control traffic flow?

Traffic lights use speed and distance estimates to determine the optimal timing for signal changes. For example, if a traffic light detects a high volume of vehicles approaching at a high speed, it may extend the green light to allow more vehicles to pass through and reduce congestion.

## 4. What happens if the speed and distance estimates are incorrect?

If the speed and distance estimates are incorrect, it can lead to traffic congestion, delays, and potentially accidents. Therefore, it is important for traffic lights to be regularly maintained and calibrated to ensure accurate estimates.

## 5. Can weather or environmental conditions affect the accuracy of speed and distance estimates?

Yes, weather and environmental conditions such as heavy rain, fog, or extreme temperatures can impact the accuracy of speed and distance estimates. This is because these conditions may obstruct the traffic light's sensors or affect the performance of the technology used to estimate speed and distance.

• Introductory Physics Homework Help
Replies
9
Views
3K
• Introductory Physics Homework Help
Replies
4
Views
632
• Introductory Physics Homework Help
Replies
6
Views
704
• Introductory Physics Homework Help
Replies
1
Views
1K
• Introductory Physics Homework Help
Replies
4
Views
2K
• Introductory Physics Homework Help
Replies
5
Views
255
• Introductory Physics Homework Help
Replies
3
Views
1K
• Introductory Physics Homework Help
Replies
3
Views
769
• Introductory Physics Homework Help
Replies
2
Views
1K
• Introductory Physics Homework Help
Replies
16
Views
2K