When a ball is dropped from a certain height, it is subject to the gravitational force exerted by the Earth. This force results in an acceleration directed towards the center of the Earth. The magnitude of this acceleration is called the acceleration due to gravity.
The acceleration due to gravity is a constant and does not depend on the mass of the ball. It is the same for all objects near the surface of the Earth, assuming negligible air resistance.
The standard value for this acceleration is approximately:
9.8 m/s²
So, the magnitude of the initial acceleration when the ball is dropped is:
9.8 m/s²
Therefore, the correct answer is:
O 9.8 m/s²