(A):The position -time graph of a body may be a straight line parallel to time axis
(R ):It is possible that position of a body does not change with time.

Answer

To solve the question, we need to analyze the two statements provided:

**Statement (A):** The position-time graph of a body may be a straight line parallel to the time axis.
**Statement (R):** It is possible that the position of a body does not change with time.

### Step-by-Step Solution:

1. **Understanding the Position-Time Graph:**
- A position-time graph represents the position of an object at various points in time. The x-axis typically represents time, while the y-axis represents position.

2. **Analyzing Statement (A):**
- If the position-time graph is a straight line parallel to the time axis, it indicates that the position of the body remains constant as time progresses. This means that for any value of time, the position does not change.

3. **Understanding the Implication of a Horizontal Line:**
- A horizontal line (straight line parallel to the time axis) implies that the object is not moving. Therefore, the velocity of the object is zero, as velocity is defined as the rate of change of position with respect to time.

4. **Analyzing Statement (R):**
- Statement (R) claims that it is possible for the position of a body to remain unchanged over time. This is indeed true, as an object can be at rest, meaning its position does not vary with time.

5. **Conclusion:**
- Both statements (A) and (R) are correct. Statement (A) describes a scenario (a horizontal position-time graph) that directly supports the assertion made in Statement (R) (that the position does not change with time).

### Final Answer:
Both statements (A) and (R) are true.

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