Here are the two possibilities:
1. Moving with Constant Velocity: If the object has a non-zero velocity and its acceleration is zero, it means that the object is moving in a straight line with a constant speed. The object's velocity may be positive (moving in the positive direction) or negative (moving in the negative direction), but its speed (magnitude of velocity) remains unchanged.
2. At Rest: If the object's velocity is zero (it is not moving) and its acceleration is also zero, then the object is at rest. A stationary object, unless acted upon by an external force, will remain at rest.
In summary, when the instantaneous acceleration is zero, an object is either in a state of uniform motion with constant velocity or is completely at rest.