Question

"Find the displacement of a person who walks the following three paths on a flat field. First, she walks 15.3 meters north of her initial reference point (0,0). Next, she walks 10 meters east. Finally, she turns and walks 5.5 meters south."

Answer 1

The question involves using the graphical head-to-tail method to find the total displacement of a person walking in specified directions on a flat field in physics.

Step-by-step explanation:

The student has posed a question in physics, specifically in the area of kinematics dealing with displacement and vectors. The problem involves finding the total displacement of a person after walking three separate paths on a flat field.

Firstly, we represent each path as a vector in the respective direction and length. Then, we use the graphical head-to-tail method to add these vectors sequentially, ensuring that the head of one vector connects to the tail of the next.

For the provided scenario, the steps would include drawing a vector to represent the 25.0 m displacement 49.0° north of east, followed by a second vector for the 23.0 m displacement 15.0° north of east, and finally the vector for the 32.0 m displacement 68.0° south of east. Using the graphical method, we can measure the length and angle of the resultant vector, which represents the total displacement from the starting point.