The question remains the same: "Which pair of graphs represents the same motion of an object?" Each pair includes a displacement-time graph and a velocity-time graph. Let's analyze each option:

Analysis of Each Pair:

1. Option A:

   • Displacement-time graph: A straight line with a negative slope, indicating constant negative velocity (the object is moving in the negative direction).
   • Velocity-time graph: A straight line with a positive slope, indicating constant positive acceleration.

   These graphs do not match, as one indicates constant velocity in the negative direction while the other shows acceleration in the positive direction.

2. Option B:

   • Displacement-time graph: A straight line with a positive slope, indicating constant positive velocity.
   • Velocity-time graph: A horizontal line above the time axis, indicating constant positive velocity.

   These graphs match, as both represent constant positive velocity.

3. Option C:

   • Displacement-time graph: A horizontal line, indicating no change in displacement (the object is stationary).
   • Velocity-time graph: A straight line with a positive slope, indicating constant positive acceleration.

   These graphs do not match because a stationary object should not show any acceleration.

4. Option D:

   • Displacement-time graph: A straight line with a positive slope, indicating constant positive velocity.
   • Velocity-time graph: A straight line with a positive slope, indicating constant positive acceleration.

   These graphs do not match because one indicates constant velocity while the other shows acceleration.

Conclusion:

The pair that represents the same motion of an object is Option B. Both graphs in Option B show that the object moves with a constant positive velocity.

Would you like more details or have any questions? Here are some related questions to expand your understanding:

1. What kind of motion does a horizontal line in a velocity-time graph indicate?
2. How do you identify constant velocity in a displacement-time graph?
3. What does a negative slope in a displacement-time graph represent?
4. How can acceleration be identified in a velocity-time graph?
5. What would the graphs look like for an object with constant negative velocity?

Tip: A straight line in a displacement-time graph indicates constant velocity, while a straight line in a velocity-time graph indicates constant acceleration.