Assertion: Distance is a actual length of the path but displacement is a shortest distance between initial and final position.
Reason: Distance is a scalar quantity and it is always positive but displacement is a vector quantity. It may be positive, negative or zero.

Options

A. a.If both assertion `&` Reason are True `&` the Reason is a corrrect explanation of the Asserion.
B. b.If both Assertion `&` Reason are True but Reason is not correct explanation of the Assertion.
C. c.If Assertion is Trie but the Reason is False.
D. d.If both Assertion `&` Reason are false

Answer

To solve the assertion and reason question regarding distance and displacement, we will analyze both the assertion and the reason step by step.

### Step 1: Understanding the Assertion
**Assertion**: Distance is the actual length of the path, but displacement is the shortest distance between the initial and final position.

**Analysis**:
- Distance refers to the total length of the path traveled by an object, regardless of its direction.
- Displacement, on the other hand, is defined as the straight line distance from the initial position to the final position, along with the direction.

**Conclusion**: The assertion is **true**.

### Step 2: Understanding the Reason
**Reason**: Distance is a scalar quantity and it is always positive, but displacement is a vector quantity. It may be positive, negative, or zero.

**Analysis**:
- A scalar quantity has only magnitude and no direction. Distance fits this definition as it is always a positive value.
- A vector quantity has both magnitude and direction. Displacement fits this definition as it can be positive, negative, or zero depending on the direction of the movement relative to the initial position.

**Conclusion**: The reason is also **true**.

### Step 3: Evaluating the Relationship Between Assertion and Reason
- The assertion correctly describes the concepts of distance and displacement.
- The reason accurately explains the nature of these quantities (scalar vs. vector).

However, while both statements are true, the reason does not provide a correct explanation for the assertion. The assertion is about the definitions of distance and displacement, while the reason discusses their properties as scalar and vector quantities.

### Final Conclusion
- Both the assertion and reason are true, but the reason is not the correct explanation for the assertion. Therefore, the correct answer is that both statements are true, but the reason is not the correct explanation of the assertion.