A : for a moving particle distance can never be negative or zero.
R : Distance is a scalar quantity and never decreases with time for moving object.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).
C. If Assertion is true statement but Reason is false, then mark (3).
D. If both Assertion and Reason are false statement, then mark (4).

Answer

To analyze the statements given in the question, we need to evaluate both the Assertion (A) and the Reason (R) provided.

### Step-by-Step Solution:

1. **Understanding the Assertion (A)**:
- The assertion states that "for a moving particle, distance can never be negative or zero."
- Distance is defined as the total path length covered by an object in motion. Since it is a measure of how much ground an object has covered, it cannot be negative.
- Additionally, if a particle is moving from one point to another, the distance covered will always be a positive value. The only scenario where distance could be zero is when the particle does not move at all, which contradicts the condition of it being a moving particle.

2. **Understanding the Reason (R)**:
- The reason states that "Distance is a scalar quantity and never decreases with time for a moving object."
- Distance is indeed a scalar quantity, meaning it has magnitude but no direction. Scalar quantities cannot be negative.
- As the particle moves, the distance it covers accumulates. For example, if a particle moves from point A to point B, the distance covered increases as it moves. Thus, the distance cannot decrease with time; it can only remain the same (if the particle stops) or increase.

3. **Evaluating the Relationship Between A and R**:
- The assertion (A) is correct because distance cannot be negative or zero for a moving particle.
- The reason (R) is also correct because it explains why distance is always a non-negative value and how it behaves over time.
- Furthermore, the reason supports the assertion by providing a fundamental property of distance as a scalar quantity.

4. **Conclusion**:
- Both the Assertion (A) and the Reason (R) are correct, and the Reason supports the Assertion.

### Final Answer:
Both Assertion (A) and Reason (R) are correct, and R supports A.

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