Consider a journey by a car represented by the graph given below in three parts A, B and C. The speed of the car in these parts is va, vb and vc, respectively :
[Image shows a Distance vs Time graph with segments O-A, A-B, B-C representing the journey parts]
Which one of the following is correct in this case ?
”v<sub>a</sub>
”v<sub>b</sub>
”v<sub>a</sub>
”v<sub>a</sub>
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC CDS-2 – 2023
– Part A (O-A): The graph is a straight line with a positive slope, indicating constant positive speed. The slope is relatively steep.
– Part B (A-B): The graph is a horizontal line, meaning the distance is not changing over time. The slope is zero, indicating the car is stopped (vb = 0).
– Part C (B-C): The graph is a straight line with a positive slope, indicating constant positive speed. The slope is less steep than in Part A.
Comparing the slopes: Slope of A > Slope of C > Slope of B (which is 0). Therefore, va > vc > vb.
Looking at the options, D) va > vb; va > vc is the only option that correctly reflects the relationship va > vc and va > vb (since vb = 0).