Question

The figure presents the time-space diagram for when the traffic on a highway is suddenly stopped for a certain time and then released. Which of the following statements are true? \includegraphics[width=0.5\linewidth]{image55.png}

• A. Speed is higher in Region R than in Region P
• B. Volume is lower in Region Q than in Region P
• C. Volume is higher in Region R than in Region P
• D. Density is higher in Region Q than in Region R

Hint:

In a time-space diagram, the slope of the lines indicates speed, the distance between lines indicates volume, and the closeness of lines indicates traffic density.

Answer 1

The Correct Option is B, C, D

Statement (A): In the time-space diagram, the speed is depicted by the slope of the space-time lines. In Region P, the lines are closer together, which indicates lower speed, while in Region R, the lines are more spread out, indicating higher speed. Therefore, Statement (A) is False.
Statement (B): In Region Q, the traffic is more tightly packed, and the vehicles are slower compared to Region P, which indicates a lower volume of vehicles in Region Q. Therefore, Statement (B) is True.
Statement (C): In Region R, the traffic is moving faster with fewer vehicles per unit distance, so the volume of traffic in Region R is indeed higher than in Region P, where the vehicles are more congested and slower. Thus, Statement (C) is True.
Statement (D): The density of traffic in Region Q is higher than in Region R because in Region Q, vehicles are packed closer together, as indicated by the smaller space between the time-space lines. Therefore, Statement (D) is True.