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

Thank you sir

To determine the acceleration of the stone after it is released from the elevator, we need to consider the forces acting on the stone.

When the stone is released, it is no longer in contact with the elevator and is only subject to the force of gravity. The force due to gravity, also known as the weight of the stone, causes it to accelerate downward at a constant rate, denoted as 'g', which is approximately 9.8 m/s² on the surface of the Earth.

Since the stone is released from an elevator moving upwards, there are two accelerations at play: the acceleration due to gravity and the upward acceleration of the elevator. Let's denote the upward acceleration of the elevator as 'a'.

To find the acceleration of the stone after it is released, we need to subtract the upward acceleration of the elevator (a) from the acceleration due to gravity (g). This is because the upward acceleration of the elevator partially counteracts the downward acceleration due to gravity.

Therefore, the acceleration of the stone after it is released is given by:
Acceleration of stone = g - a

Note: If the upward acceleration of the elevator is greater than the acceleration due to gravity, the stone will experience a net upward acceleration. Conversely, if the upward acceleration of the elevator is smaller than the acceleration due to gravity, the stone will still move downward with a reduced acceleration.

it is g, downward, as gravity is the only force acting on it.