When an object rolls off a tabletop, its vertical velocity is not necessarily zero at the moment it leaves the table, especially if it rolls along the edge. The assumption of zero vertical velocity typically applies when the table is level and the object drops straight down. However, if the object has a period of rolling at the edge, it may have some downward velocity upon departure. Context is crucial for a definitive answer, so sharing the specific question can clarify any assumptions. Understanding the dynamics of motion at the edge of the table is essential for accurate analysis.