Question

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

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

Hint:

Once released, an object follows free fall → acceleration = g downward.

Answer 1

The Correct Option is D

Concept: Once an object is released from a moving frame, it is no longer influenced by the acceleration of that frame and is only acted upon by external forces.

Step 1: Before release.
The stone is inside an elevator accelerating upward with acceleration $a$. Hence, it shares the motion of the elevator.

Step 2: At the moment of release.
As soon as the stone is released:
• Contact force from the elevator is removed
• Only gravitational force acts on the stone

Step 3: Forces acting after release.
Only force acting is weight: \[ F = mg \] Thus acceleration becomes: \[ a = g \quad \text{(downward)} \]

Step 4: Key understanding.
The previous upward acceleration of the elevator has no effect after release. Final Conclusion:
Hence, the correct answer is option (4).