The distance time graph for the motion of two vehicles A and B is given below. Which of the following statements is true?

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This question was previously asked in
JTET 2012 (Mathematics & Science) Official Paper-II
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  1. B is moving faster
  2. Both A and B are moving at the same speed
  3. It is not possible to find out the relative speed of A and B from the graph
  4. A is moving faster

Answer (Detailed Solution Below)

Option 1 : B is moving faster
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Detailed Solution

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The correct answer is B is moving faster.

Key Points

  • In a distance-time graph, the slope of the line represents the speed of the vehicle. A steeper slope indicates a higher speed.
  • In the given graph, vehicle B has a steeper slope compared to vehicle A, which means vehicle B is moving faster.
  • The relative speed of two vehicles can be determined by comparing the slopes of their respective lines on the distance-time graph.
  • The distance-time graph allows us to visually compare the speeds of two vehicles by examining the steepness of their lines.
  • The correct interpretation of the graph helps in understanding the motion and speed of the vehicles accurately.

Additional Information

  • Uniform Motion: If the distance-time graph is a straight line, it indicates uniform motion, meaning the speed is constant.
  • Non-uniform Motion: If the graph is a curve, it indicates non-uniform motion, meaning the speed is changing over time.
  • Speed Calculation: The speed of a vehicle can be calculated by finding the slope of its line on the distance-time graph, which is the change in distance divided by the change in time.
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