Assertion : Acceleration and velocity cannot change values abruptly at an instant.
Reason : Their changes can either be continuous or discontinuous.

Options

A. If both assertion and reason are trure and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanations of assertion.
C. If assertion is true but reason is false.
D. If both assertion and reason is false

Answer

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

### Step 1: Understand the Assertion
The assertion states: "Acceleration and velocity cannot change values abruptly at an instant."

- **Explanation**: In physics, particularly in kinematics, both acceleration and velocity are defined as continuous quantities. This means that they change gradually over time rather than instantaneously. For example, if a car is accelerating, it does not go from 0 m/s to 60 m/s instantaneously; it takes time to reach that speed.

### Step 2: Understand the Reason
The reason states: "Their changes can either be continuous or discontinuous."

- **Explanation**: While changes in velocity and acceleration can theoretically be described as continuous or discontinuous, in practical terms, for real-world objects, changes are typically continuous. Discontinuous changes would imply an instantaneous change, which is not physically realistic for acceleration and velocity in most scenarios.

### Step 3: Evaluate the Truth of Each Statement
- The assertion is **true** because acceleration and velocity indeed cannot change abruptly; they change gradually.
- The reason is **false** because, while it suggests that changes can be discontinuous, in the context of classical mechanics, we generally consider them to be continuous.

### Conclusion
Based on the analysis:
- The assertion is true.
- The reason is false.

Thus, the correct answer is that the assertion is true, but the reason is false.

### Final Answer
Assertion: True
Reason: False