Which of the following tasks does the 2-mile run relate to?

The 2-mile run is primarily related to dismounted movements, as it evaluates a soldier's endurance and ability to move effectively on foot over a significant distance. This aspect of physical fitness is essential for various military operations where soldiers must cover ground without the aid of vehicles. The ability to run long distances is crucial for performing tasks that may require rapid movement, response to threats, or executing missions that involve traversing varied terrains.

The other options focus on different areas of military operations. Vehicle preparations involve maintenance and readiness of military vehicles, which is not directly related to physical endurance or running capabilities. Group formations are concerned with how troops align and position themselves, typically during drills or maneuvers, and do not assess physical fitness in the context of running. Mission planning deals with strategizing and coordinating operations, requiring critical thinking and organizational skills rather than physical stamina. Thus, the connection between the 2-mile run and dismounted movements highlights the importance of endurance in the overarching scope of military readiness.