Final answer:
In Physics, to find the total displacement when a person moves 6m north, 4m east, and 6m south, the northward and southward movements cancel each other out, leaving a total displacement of 4m to the east. So the correct option is D.
Step-by-step explanation:
The subject of this question involves Physics, specifically relating to the concept of displacement which is a vector quantity that represents the change in position of a point relative to a starting point. To find the total displacement when a person travels 6 meters north, 4 meters east, and 6 meters south, one can think of these movements as vectors and apply vector addition. Since the north and south displacements cancel each other out (as they are in opposite directions), the total displacement is simply the eastward displacement. Therefore, the total displacement is 4 meters east.