Final answer:
The question involves using vector addition to determine a person's total displacement when walking different paths, which requires breaking paths into components, summing them, and calculating the resultant vector's magnitude and direction.
Step-by-step explanation:
The question pertains to the graphical technique for adding vectors to find the total displacement of a person walking in various directions.
To solve this, one would typically break down each path into its north-south and east-west components and then add up these components separately to obtain the overall displacement in each direction.
Finally, the resultant displacement vector can be found by calculating the magnitude of the resultant using the Pythagorean theorem and determining the direction using trigonometry.
For example, if someone walks 18.0 m straight west and then 25.0 m straight north, the total displacement's magnitude would be the square root of the sum of the squares of the two displacements: √(18.0 m)2 + (25.0 m)2,
which can be found. The direction can be determined using arctan of the north displacement over the west displacement.