There isn't a specific term for an object in free-fall, though the term "projectile" is sometimes used if the object is launched with an initial horizontal velocity.
Here's why:
* Free-fall is a specific condition where the only force acting on an object is gravity.
* Falling object is a general term for anything moving downward due to gravity, whether in free-fall or with other forces acting on it (like air resistance).
So, it's more accurate and understandable to just call it a falling object in free-fall.