What term describes the motion of the gun that allows it to move in both a traversing and searching manner?

The term that describes the motion of the gun allowing it to move in both a traversing and searching manner is "Traversing and Searching." This term encompasses the specific functionalities required for the gun to engage targets effectively by allowing for lateral movement (traversing) as well as up and down adjustments (searching).

In military terminology, traversing refers to the horizontal rotation of the gun, enabling it to aim at different targets laterally. Searching complements this by providing the capability of vertical movement, which is essential for tracking targets that are at varying elevations. Together, these actions facilitate a more dynamic engagement of threats, as the operator can adjust the gun's position to maintain an effective line of sight.

The other options do not capture the dual functionality of both horizontal and vertical movement necessary for this type of operation. For instance, "Fixed" indicates a stationary position without any capability for adjustment. "Swinging Traverse" suggests a limited motion that might not encompass the upward and downward adjustments involved in searching. "Free Gun" might imply unrestricted movement, but does not necessarily convey the specific coordinated motions of traversing and searching needed for tactical operations.