The area enclosed by the position-time graph of a stationary body,

Options

A. gives its speed
B. gives its velocity
C. gives its acceleration
D. has no physical significance

Answer

To solve the question regarding the area enclosed by the position-time graph of a stationary body, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Graph**:
- A position-time graph represents the position of an object over time. For a stationary body, the position remains constant over time.

2. **Draw the Graph**:
- On the graph, the x-axis represents time (t) and the y-axis represents position (P). For a stationary body, the graph will be a horizontal line at a constant position value.

3. **Identify the Area**:
- The area under the curve (or line) in a position-time graph is calculated as the product of the base (time interval) and the height (position value). However, since the body is stationary, the height does not change.

4. **Calculate the Area**:
- If the position is constant (let's say at position P0) over a time interval from t1 to t2, the area would be:
\[ \text{Area} = \text{Base} \times \text{Height} = (t2 - t1) \times P0 \]

5. **Interpret the Area**:
- The area calculated does not correspond to any physical quantity like speed, velocity, or acceleration. In kinematics, the area under a velocity-time graph represents displacement, but in this case, since the body is stationary, the area does not represent any meaningful physical quantity.

6. **Conclusion**:
- Therefore, the area enclosed by the position-time graph of a stationary body has no physical significance.

### Final Answer:
The area enclosed by the position-time graph of a stationary body has no physical significance.