When objects of different masses are dropped under the same gravitational conditions, they all accelerate towards the ground at the same rate, regardless of their mass. This is because the acceleration due to gravity is a constant, denoted by the symbol 'g'. The value of 'g' on Earth is approximately 9.8 meters per second squared (m/s²).

In other words, when objects are dropped, they fall with the same acceleration, but not at the same speed. The speed at which an object falls depends on its initial velocity and the acceleration due to gravity.

The equation of motion for a freely falling object is given by:

$$v = u + gt$$

where:

- v represents the final velocity of the object

- u represents the initial velocity of the object (which is usually zero when dropped)

- g represents the acceleration due to gravity

- t represents the time taken for the object to fall

Therefore, the velocity of a falling object increases uniformly with time, and all objects fall at the same acceleration, regardless of their mass.