Assertion : Acceleration of a moving particle can change its direction without any change in direction of velocity.
Reason : If the direction of change in velocity vector changes, the direction of acceleration vector also changes.

Options

A. If the both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
B. If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
C. If Assertion is true, but the Reason is false.
D. If Assertion is false but the Reason is true.

Explanation

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

### Step 1: Analyze the Assertion
The assertion states: "Acceleration of a moving particle can change its direction without any change in direction of velocity."

- **Understanding the Assertion**: Acceleration is defined as the rate of change of velocity. It is possible for acceleration to change the speed of a particle while maintaining the same direction of velocity. For example, if a particle is moving in a straight line and experiences a deceleration (negative acceleration) in the same direction, its speed decreases, but the direction of velocity remains unchanged until it comes to a stop or starts moving in the opposite direction.

### Step 2: Analyze the Reason
The reason states: "If the direction of change in velocity vector changes, the direction of acceleration vector also changes."

- **Understanding the Reason**: The acceleration vector is defined as the change in velocity over time (a = dv/dt). If the direction of the change in the velocity vector (dv) changes, it implies that the acceleration vector (which is directly related to this change) will also change its direction. This is a fundamental property of vectors; if the rate of change of a vector changes direction, the vector itself must also change direction.

### Step 3: Conclusion
Both the assertion and the reason are true. The reason correctly explains the assertion because the nature of acceleration is such that it directly relates to the change in velocity.

Thus, the correct answer is that both the assertion and reason are true, and the reason is the correct explanation of the assertion.

### Final Answer
Both the assertion and reason are true, and the reason is the correct explanation of the assertion.

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