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:

F1 Defence Savita 5-1-24 D1

Which one of the following is correct in this case?

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  1. va < vb < vc
  2. Vb > Va > Vc
  3. Va = Vb = Vc
  4. Va > Vb; Va > Vc

Answer (Detailed Solution Below)

Option 2 : Vb > Va > Vc
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Detailed Solution

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The correct answer is Vb > Va > Vc.

Key Points

  • To find the speed from a distance-time graph, you need to calculate the slope of the graph at any given point.
  • The slope represents the rate of change of distance concerning time, which is the definition of speed.
  • The formula for speed (v) is given by the ratio of the change in distance to the change in time:
  • \(v = {\Delta d \over \Delta t}\)
  • Here, 
    • v is the speed, 
    • Δd is the change in distance, and 
    • Δt is the change in time.
  • In the given graph, the order of decreasing slope is given by b>a>c.
  • Hence, the velocity in decreasing order is given by Vb > Va > Vc
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