Two objects fall at the same speed in a vacuum, meaning in the absence of air resistance. This is because the acceleration due to gravity is constant for all objects, regardless of their mass.

Here's why:

* Gravity's Constant Pull: The force of gravity acts on all objects with the same acceleration, approximately 9.8 m/s². This means every object falls towards the Earth at the same rate.

* Ignoring Air Resistance: In a vacuum, there's no air to resist the object's motion. Air resistance slows down lighter objects more than heavier ones.

Example: If you drop a feather and a bowling ball in a vacuum chamber, they will fall at the same rate and hit the ground simultaneously.

However, in real-world situations, air resistance significantly impacts the speed of falling objects:

* Shape and Size: Objects with a larger surface area or less aerodynamic shapes (like a feather) experience more air resistance, slowing them down.

* Mass: Heavier objects are less affected by air resistance compared to lighter objects.

Therefore, two objects will only fall at the same speed if they are in a vacuum or if the air resistance affecting them is negligible.