Question

The displacement-time graph of a moving particle is shown below. The instantaneous velocity of the particle is negative at the point

• A. E
• B. F
• C. C
• D. D

Answer 1

The Correct Option is A

The question asks us to determine at which point the instantaneous velocity of a moving particle is negative, based on its displacement-time graph. The given answer is point E.

Conceptual Overview

In a displacement-time graph, the slope of the graph at any point gives the instantaneous velocity at that point. Therefore, a negative slope indicates a negative velocity.

Step-by-Step Solution

1. Identify the Slope: Examine the displacement-time graph at each point provided in the options. The points of interest are E, F, C, and D.
2. Point E: At this point, the graph has a downward slope, which indicates a negative velocity.
3. Point F, C, and D: At these points, the graph either has an upward slope or a horizontal line which indicates either a positive velocity or zero velocity.

The only point where the slope of the graph is negative is at point E.

Conclusion

Therefore, the instantaneous velocity of the particle is negative at the point E. This aligns with the correct answer as provided.