A stone is released from an elevator going up with an acceleration of `g/2.` What is the acceleration of the stone just after release ?

Explanation

To solve the problem of finding the acceleration of a stone just after it is released from an elevator that is moving upwards with an acceleration of \( \frac{g}{2} \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Situation**:
- The stone is released from an elevator that is accelerating upwards with an acceleration of \( \frac{g}{2} \).
- The only force acting on the stone after it is released is the gravitational force.

2. **Identify the Forces Acting on the Stone**:
- When the stone is released, the only force acting on it is its weight, which is given by \( F = mg \), where \( m \) is the mass of the stone and \( g \) is the acceleration due to gravity.

3. **Determine the Acceleration of the Stone**:
- According to Newton's second law, the net force acting on the stone will cause it to accelerate. Since the only force acting on the stone is the gravitational force, the acceleration \( a \) of the stone can be calculated using the formula:
\[ F = ma \]
- Here, \( F = mg \). Therefore, we can set up the equation:
\[ mg = ma \]
- Dividing both sides by \( m \) (assuming \( m \neq 0 \)):
\[ g = a \]
- This shows that the acceleration of the stone just after release is equal to \( g \).

4. **Conclusion**:
- The acceleration of the stone just after it is released from the elevator is \( g \), which is the acceleration due to gravity.

### Final Answer:
The acceleration of the stone just after release is \( g \).