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#1 | ||
FF.Com.Au Hardcore
Join Date: Jan 2006
Posts: 2,125
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I have a bit of a thought experiment and i'm wondering if anyone has any ideas on the outcome.
If 2 cars leave on a 100km journey through a city, leaving from the same point and arriving at the same destination, with car A leading, and car B following from behind after 2 seconds, will they arrive at the destination still only 2 seconds apart from each other? The rules are that: - Must always stick to the speed limit - Driving style between 2 drivers is the same. Same speed take offs, same speed slowing down to stop. - Must always stick to the left-most lane, with no changing lanes to overtake (If left lane is flowing faster than right lane that is ok). - Cannot speed through amber lights, stop if you have time. - Car A cannot wait for car B. If car A gets through a set of lights and car B misses out, car A continues as normal. - Car B cannot tailgate car A, a normal safe gap must be left (2 second gap) unless stopped. Things to consider are that due to the fact that the drive is through a city, which includes many sets of traffic lights, its inevitable car A will make it through traffic lights that car B misses out on, and also other cars will almost certainly come between car A and car B, especially if a safe gap is left. The question again is, will both cars make it to the destination after 100km and still only have a 2 second time difference? |
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#2 | |||
FG XR6 Ute & Sedan
![]() Join Date: Oct 2006
Location: Bibra Lake WA
Posts: 23,041
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regards Blue |
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#3 | ||
FF.Com.Au Hardcore
Join Date: Nov 2005
Location: perth
Posts: 4,355
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schrodingers cat come to mind the answer is yes
i mean both are correct but youd never know till you open the box , i mean try it it is possible but highly un probable to happen even if car "B" was on a car trailer being towed by car "A" for it to leave the start 2 seconds after car a was to leave car a would probably still be clearing the start area its self unless they were side by side and the same for the finish even more so if the finish was a drive way as car "B" would be waiting for car "A" to clear the entry for it to be able to enter
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yes still (as money n time permit) doing the rebuilding the zh fairlane with a clevo 400m 4v heads injected whipple blown with aode 4 speed trans to a 9" ....... we'll get there eventually just remember don't be afraid to try something new. Remember, amateurs built the Ark...Professionals built the Titanic! I have taken up meditation... at least it's better than sitting around doing nothing !! |
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#4 | ||
Shenanigans..............
Join Date: Mar 2007
Location: Footscrazy
Posts: 12,374
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#6 | |||
FF.Com.Au Hardcore
Join Date: Feb 2005
Location: Sth Coast NSW
Posts: 1,512
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#7 | |||
FG XR6 Ute & Sedan
![]() Join Date: Oct 2006
Location: Bibra Lake WA
Posts: 23,041
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Quote:
Using queuing theory maths you could develop a computer simulation model provided you make various constraining rules such as no left hand only turning lanes, no car parking in the left hand lane, all road have only two lanes on each side, both cars must use the same route etc. But it's not a trivial task. I tried to develop a Fortran 77 program as part of a University programming course I did in the early 1980's to try and prove that the Perth Freeway traffic from Canning Bridge to Perth CBD would flow just as fast if all cars kept a safe distance between them (1 car length for every 10km/hr or something like that and a min or 3 meters between each car at all times and factoring in what happened if cars did travel bumper to bumper and there were increased multi-car accidents) and it just became too complex and large a model with all the variables (varying vehicles sizes and braking and acceleration rates etc) even with as I recall virtually a single length of road with traffic lights at each end. I always meant to go back when I had more time and finish it but never did (and I never used Fortran again; it was in its death fros as an in-vogue programming language even then). For my course project I reverted to writing a much simpler simulation about students queuing for access to the University's computer lab (a real problem for most other students - I was the only one with my own computer and dial up access) to show how many lab stations were needed to get various wait time targets over various days and hours. Now there is software like this you can use https://www.youtube.com/watch?v=6xTLd47SmIs and https://www.youtube.com/watch?v=azmcu1cn2vg And they have graphics that my Fortran program running on a DEC 10 could never have.
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regards Blue Last edited by aussiblue; 25-08-2019 at 12:26 AM. |
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#8 | ||
Regular Member
Join Date: Oct 2010
Location: Perth
Posts: 391
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The way this is laid out the trip time won't always be the same each time the experiment is conducted since:
- Car A is allowed to get away from car B, if for example car B misses a light that car A got through - Car B is not allowed to overtake car A? - So car A MUST get to the destination in front of car B, and only car B is disadvantaged relative to car A by missing lights. |
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#9 | ||
Cabover nut
Join Date: Aug 2015
Location: Onsite Eastcoast
Posts: 10,891
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Do car A and B have the same amount of fuel in their tanks ?
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heritagestonemason.com/Fordlouisvillerestoration In order that the labour of centuries past may not be in vain during the centuries to come...... D. Diderot 1752
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#10 | ||
FF.Com.Au Hardcore
Join Date: Jun 2010
Posts: 700
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[QUOTE=mike_nofx;6332961]
- Must always stick to the left-most lane, with no changing lanes to overtake (If left lane is flowing faster than right lane that is ok). QUOTE] Is car "B" allowed to overtake car "A" in the left lane? |
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#11 | |||||||
FF.Com.Au Hardcore
Join Date: Jan 2006
Posts: 2,125
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No, because car A is also in the left lane in front. Personally I am unsure of the outcome. I feel like there will almost always be a longer than 2 second gap at the end of the experiment but I can't say exactly why. |
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#12 | ||
Moderator
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Location: Kenthurst
Posts: 40,394
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You will find that multi-lane roads under 80km/h does adhere to the keep left unless overtaking rule ... so that's most of suburbia really.
So keeping to the left lane as much as possible shouldn't really be part of the experiment. But if we talk Sydney traffic ... and the opening statement advises that car A and B don't have to take the same route. I do understand that it mentions "leaving from the same point and arriving at the same destination, with car A leading, and car B following from behind after 2 seconds" It doesn't state following 2 seconds for the entire trip .... only after leaving the starting point. The outcome will be very different on every trip taken.
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