Yes, that's correct! In a vacuum, all objects in free fall experience the same acceleration, regardless of their mass or shape. This is due to the fundamental principle that gravity exerts the same force on all objects, regardless of their mass.

Here's why:

* Newton's Law of Universal Gravitation: This law states that the force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them.

* Acceleration due to Gravity: The acceleration of an object in free fall is directly proportional to the force of gravity acting on it.

* Mass and Inertia: While a heavier object has a greater gravitational force acting on it, it also has greater inertia, meaning it resists changes in motion more strongly. This balance results in the same acceleration for all objects in free fall.

Important Notes:

* Air Resistance: In reality, air resistance plays a significant role in the motion of objects falling through the atmosphere. This resistance depends on factors like the object's shape, size, and speed.

* Near Earth's Surface: The acceleration due to gravity near the Earth's surface is approximately 9.8 m/s², which is often rounded to 10 m/s².

The famous demonstration of a feather and a hammer falling at the same rate on the Moon, where there is no atmosphere, highlights this principle in a visually striking way.