Asserion : The acceleration of an object at a particular time is the slope of the velocity-time graph at that instant of time.
Reason : For uniform motion acceleration is zero.

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 assertion and reason question, we will analyze both statements step by step.

### Step 1: Understanding the Assertion
**Assertion:** The acceleration of an object at a particular time is the slope of the velocity-time graph at that instant of time.

- **Explanation:** Acceleration is defined as the rate of change of velocity with respect to time. Mathematically, this is expressed as:
\[ a = \frac{dV}{dt} \]
In a velocity-time graph, the slope of the graph at any point indicates how much the velocity is changing at that instant. Therefore, the assertion is true.

### Step 2: Understanding the Reason
**Reason:** For uniform motion, acceleration is zero.

- **Explanation:** In uniform motion, the velocity of the object remains constant. This means that there is no change in velocity over time. Thus, the acceleration, which is the change in velocity divided by time, is:
\[ a = \frac{dV}{dt} = 0 \]
Therefore, the reason is also true.

### Step 3: Analyzing the Relationship Between Assertion and Reason
- While both the assertion and the reason are true, the reason does not explain the assertion. The assertion is about the definition of acceleration in terms of the slope of the velocity-time graph, while the reason discusses a specific case (uniform motion) where acceleration is zero.

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

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