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szaki
Acceleration decreases with increased mass. Hope this helps. 
AL2006
Well first of all, I can't imagine HOW you could ever accomplish that ...
increase the mass of an object while it's accelerating.

But if you magically found a way to double the mass of an object,
AND you wanted its acceleration to remain constant, then you'd
need to double the force acting on the object.  Otherwise, its
acceleration would drop to half because of the increased mass.