A stone is released from an elevator going up with an acceleration a. The acceleration of the stone after the release is

Options

A. a upward
B. (g-a) upward
C. (g-a)downward
D. g downward

Answer

To solve the problem, we need to analyze the situation of the stone being released from the elevator. Here’s a step-by-step breakdown:

### Step 1: Understand the scenario
The stone is initially in an elevator that is moving upwards with an acceleration \( a \). When the stone is released, it is no longer influenced by the elevator's motion.

**Hint:** Consider the forces acting on the stone when it is released.

### Step 2: Identify the forces acting on the stone
Once the stone is released, the only force acting on it is the force of gravity. The gravitational acceleration is denoted by \( g \) (approximately \( 9.81 \, \text{m/s}^2 \) downwards).

**Hint:** Remember that the stone is in free fall after it is released.

### Step 3: Determine the acceleration of the stone
Since the stone is in free fall, the only acceleration it experiences is due to gravity. Therefore, the acceleration of the stone after it is released is equal to the gravitational acceleration \( g \), directed downwards.

**Hint:** Think about how the direction of acceleration changes when the stone is released.

### Step 4: Conclusion
The acceleration of the stone after it is released from the elevator is \( g \) downwards.

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

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