A small body is dropped from a rising balloon. A person `A` stands on ground, while another person `B` is on the balloon. Immediately, after the body is released, Choose the correct statement :

Options

A. A and B , both feel that body is coming (going) down.
B. A and B , both feel that the body is going up
C. A feels that the body is coming down while B feels that the body is going up
D. A feels that the body is going up ,while B feels that the body is going down.

Answer

To solve the problem, we need to analyze the motion of the small body dropped from a rising balloon from the perspectives of both observers, A (on the ground) and B (in the balloon).

### Step-by-Step Solution:

1. **Understanding the Situation**:
- The balloon is rising with an initial velocity \( v_0 \).
- A small body is dropped from the balloon.

2. **Initial Velocity of the Dropped Body**:
- When the body is released, it has the same upward velocity as the balloon, which is \( v_0 \).

3. **Motion of the Body**:
- After being released, the body will experience gravitational acceleration \( g \) acting downwards.
- The initial velocity of the body when dropped is \( v_0 \) upwards.

4. **Observations from Different Perspectives**:
- **Observer A (on the ground)**:
- Observer A will see the body initially moving upwards (due to its initial velocity \( v_0 \)) and then eventually slowing down, coming to a stop at its maximum height, and then falling back down.
- **Observer B (in the balloon)**:
- Observer B, who is also moving upwards with the balloon, will see the body as having an initial velocity of zero relative to them at the moment of release. Therefore, for B, the body will appear to drop downwards.

5. **Conclusion**:
- From the perspective of observer A, the body goes up and then comes down.
- From the perspective of observer B, the body appears to drop downwards.

### Final Answer:
- The correct statement is that **observer A sees the body going up, while observer B sees the body dropping down**.