If the graph of an object's position over time is a horizontal line and \( y \) is not equal to 0, it indicates that the object's position does not change over time. This means that the object is not moving.
Therefore, it must be true that:
The velocity is zero.
Since the object is not changing its position, it is not moving, and thus its velocity is zero. The other options regarding acceleration imply a change in velocity, which cannot occur if the velocity is already zero and constant.