A body under the action of several forces will have zero acceleration
When the body is very light
When the body is very heavy
When the body is a point body
When the vector sum of all the forces acting on it is zero
We have,
¯Fnet=m ¯a
If ¯Fnet=0 then ¯a=0.
When external forces acting on a body are zero, then its centre of mass