If two objects with the same mass are dropped at the same time in a vacuum, they will accelerate at the same rate and fall at the same speed due to gravity. This is because the force of gravity acting on each object is the same, and their masses are the same, so they experience the same acceleration.

The acceleration due to gravity on Earth is approximately 9.8 meters per second squared (9.8 m/s²), which means that the objects will fall at a speed of 9.8 m/s after one second, 19.6 m/s after two seconds, and so on.

In the real world, however, air resistance will cause the objects to fall at different speeds. The object with a larger surface area will experience more air resistance and fall slower than the object with a smaller surface area.

Additionally, if the objects are dropped from a significant height, they may reach a point where the air resistance is equal to the force of gravity, causing them to fall at a constant speed known as the terminal velocity.