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

  • Thread starter PraetorianDude
  • Start date
In summary, there are two vehicles, A and B, on a road with three lanes. Both vehicles are turning left onto the highway, and have to merge into one lane after the turn. Car A is stopped at a traffic light and is 4th in line, while car B comes from the far right lane and turns left in front of all the cars. Car B then maintains a constant speed of 90 km/h. Assuming that car A ends up 8th in line on the merge lane and has an average speed of 35 km/h before getting on the highway, we can calculate the speed car A needs to drive on the highway to catch up with car B and in what distance car A will be behind car B
  • #1
PraetorianDude
1
0
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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  • #2
Per PM, this is not homework. The OP is not very knowledgeable in mathematics, and is asking for help.
 
  • #3
I copied your problem into my notepad and Ill try answering this once I got back from office. Goodluck to all! :D
 

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

What is the speed/distance equation?

The speed/distance equation, also known as the distance formula, is a mathematical formula used to calculate the distance traveled by an object over a period of time. It is represented by the equation: distance = speed x time.

How is the speed/distance equation used in science?

The speed/distance equation is used in many areas of science, such as physics, astronomy, and biology. It can be used to calculate the speed of a moving object, the distance traveled by a planet around the sun, or the distance traveled by an animal over a certain period of time.

What units are used in the speed/distance equation?

The speed/distance equation uses the units of distance (such as meters or kilometers) for the distance variable, and the units of speed (such as meters per second or kilometers per hour) for the speed variable. The time variable is typically measured in seconds, but can also be measured in other units such as minutes or hours.

What other factors can affect the outcome of the speed/distance equation?

Other factors that can affect the outcome of the speed/distance equation include acceleration, deceleration, and changes in direction. These factors can be accounted for by using more advanced equations, such as the equations of motion in physics.

Can the speed/distance equation be used for non-uniform motion?

Yes, the speed/distance equation can be used for both uniform and non-uniform motion. However, for non-uniform motion, the equation only gives an average speed or distance, as the speed or distance may change over time. More advanced equations, such as calculus, may be needed to accurately calculate non-uniform motion.

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