There are several synonyms for the term "cover ground." One such synonym is "traverse," which suggests an effortful journey or crossing. Another synonym is "move across," which implies a movement through space or territory. "Explore" and "survey" suggest a careful examination or analysis of an area, while "patrol" and "scout" suggest an active search or exploration for a specific purpose. "Roam" suggests a more aimless wandering, while "cross" and "pass over" suggest movement from one side to the other. Finally, "travel" and "journey" suggest a purposeful movement towards a specific destination. All of these synonyms convey different nuances of meaning depending on the context in which they are used.