Mass itself does not change as acceleration increases. Mass is an intrinsic property of an object, meaning it's a fundamental characteristic that doesn't change.

Here's why:

* Newton's Second Law: F = ma (Force = mass x acceleration)

* Force causes acceleration: A force is required to change an object's motion (to accelerate it).

* Acceleration is a result: Acceleration is the *result* of the force acting on a given mass.

So, if you increase the force acting on an object, its acceleration will increase, but its mass will remain the same.

What can change, however, is the object's *relativistic mass* at very high speeds, close to the speed of light. This is a consequence of Einstein's theory of relativity, but it's a more complex scenario not typically encountered in everyday situations.