Answer to Question #245669 in Physics for Rachel

Question

Make a worded problem with complete solution applying the component method. Use the direction in your house (Starting point: door – going to living room – going to your bed room – going to kitchen – going to CR). Minimum of 4 vectors

Answer 1

You come to your house and follow the route described: door – going to living room – going to your bed room – going to kitchen – going to CR. The corresponding vectors are in the figure attached. What is your total displacement regarding the door? Take the direction "door-living room" as positive.

Solution

Apply the component method to find the resultant displacement. The vectors in the direction of door-living room are positive, the vectors in the opposite direction are negative.

$$D=5+2-2+8=13\text{ m}.$$

Answer: 13 m from the door.