A stone is relaeased from an elevator gaing up with acceleration `5m//s^(2).` The acceleration of the stone after the release is :

Options

A. `5ms^(-2)`
B. `4.8ms^(-2)` upward
C. `4.8` down ward
D. `9.8 ms ^(-2) ` down ward

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 released from an elevator that is moving upwards with an acceleration of \(5 \, \text{m/s}^2\).

### Step 2: Identify the forces acting on the stone after release
Once the stone is released, the only force acting on it is the force of gravity. The gravitational acceleration \(g\) is approximately \(9.8 \, \text{m/s}^2\) directed downwards.

### Step 3: Determine the acceleration of the stone after release
After the stone is released, it no longer has the upward acceleration of the elevator. Therefore, the only acceleration acting on the stone is due to gravity.

Thus, the acceleration of the stone after release is:
\[ \text{Acceleration of the stone} = g = 9.8 \, \text{m/s}^2 \, \text{(downward)} \]

### Step 4: Conclusion
The acceleration of the stone after it is released from the elevator is \(9.8 \, \text{m/s}^2\) downward.

### Final Answer
The acceleration of the stone after the release is \(9.8 \, \text{m/s}^2\) downward.

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