Assertion: A negative acceleration of a body can be associated with a 'speeding up' of the body.
Reason: Increase in speed of a moving body is independent of its direction of motion.

Options

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

Answer

To solve the question, we need to analyze both the assertion and the reason provided.

### Step 1: Understanding the Assertion
The assertion states that "a negative acceleration of a body can be associated with a 'speeding up' of the body."

- **Explanation**: Negative acceleration (deceleration) typically means that the body is slowing down when it is moving in the positive direction. However, if a body is moving in the negative direction (e.g., moving left on a number line), a negative acceleration would actually mean that the speed of the body is increasing in that negative direction. Thus, a negative acceleration can indeed be associated with speeding up if the body is moving in the negative direction.

### Step 2: Understanding the Reason
The reason states that "increase in speed of a moving body is independent of its direction of motion."

- **Explanation**: Speed is a scalar quantity and does not have a direction, while velocity is a vector quantity that does have direction. When we say a body is speeding up, we are referring to an increase in the magnitude of its velocity. This increase can occur regardless of whether the body is moving in a positive or negative direction. Therefore, this statement is true.

### Step 3: Evaluating the Relationship
Now we need to determine if the reason correctly explains the assertion.

- **Analysis**: While both the assertion and reason are true, the reason does not directly explain why a negative acceleration can be associated with speeding up. The assertion focuses on the relationship between acceleration and velocity (both being in the same direction), while the reason discusses the independence of speed from direction. Thus, the reason does not serve as an explanation for the assertion.

### Conclusion
Both the assertion and reason are true, but the reason is not the correct explanation of the assertion. Therefore, the answer to the question is:

**Answer**: Both assertion and reason are true, but the reason is not the correct explanation of the assertion.

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