Can Car A Catch Up to Car B on the Highway?

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  • Thread starter Thread starter PraetorianDude
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SUMMARY

In the discussion, participants analyze a scenario involving two cars, A and B, merging onto a highway. Car A is delayed at a traffic light, starting 4th in line, while Car B accelerates to a constant speed of 90 km/h after merging from the right lane. To catch up with Car B, Car A must achieve a speed greater than 90 km/h, considering its average speed of 35 km/h before merging. The calculations reveal that Car A will initially be 360 meters behind Car B upon entering the highway.

PREREQUISITES
  • Understanding of basic physics concepts related to speed and distance
  • Familiarity with vehicle dynamics and merging behavior
  • Basic mathematical skills for calculating speed and distance
  • Knowledge of traffic flow principles
NEXT STEPS
  • Calculate the time it takes for Car A to reach the highway using its average speed
  • Determine the distance covered by Car B during the time Car A is merging
  • Explore the effects of acceleration on Car A's ability to catch up
  • Investigate real-world implications of merging speeds on highway safety
USEFUL FOR

This discussion is beneficial for automotive engineers, traffic analysts, and anyone interested in understanding vehicle dynamics and highway merging strategies.

PraetorianDude
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We have vehicles A and B

A road with three lanes, two left only, going onto the highway, and the far right lane for straight only.
After turning left, the cars from both lanes have to merge into one lane. The merge lane is 360 meters long.
Both turning lanes have an equal number of cars.


Car A is sopped at the last traffic light before entering the highway, 4th in cue.

As soon as the light turns green, car B comes from the far right lane, changes lanes the front of all the cars and turns left into the highway.


From the moment car B turned left, was driving with a constant speed of 90 km/h


Assumptions:

Car A, since it was 4th on cue, ended up the 8th on the merge lane
Average speed of car A from the traffic light and before getting on the highway is 35km/h


Calculations:

What is the speed car A needs to drive on the highway in order to to catch up with the car B
Based on the speed, in what distance car A will be behind car B


Thank you anticipated
 
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Per PM, this is not homework. The OP is not very knowledgeable in mathematics, and is asking for help.
 
I copied your problem into my notepad and Ill try answering this once I got back from office. Goodluck to all! :D
 

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