Question

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Brunhilda starts at a position of 3 m east of her house. She moves 2 m north, 5 m west, and then 2 m south.

What is her displacement for this trip?

6 m
5 m west
2 m west
1 m north

Answer 1

Place Brunhilda at (0,0) which is the location of the intersection of the x and y axis. I'm going to label this point A.

Move 3 units to the right to arrive at point B = (3,0). Then move 2 units up to arrive at point C = (3,2). The next step is to walk 5 units to the left and you get to point D = (-2,2). Finally, we move 2 units south to get to the point E = (-2,0)

When we talk about displacement, we only care about starting and ending points. The stuff in between doesn't matter. We start at (0,0) and end at (-2,0). So the displacement is 2 units to the right or "2 meters west"

Answer: Choice C) 2 m west

Check out the attached image to see a visual of what is going on.

Edit: I mistakenly thought she started at point A. instead she starts at point B. So the answer is actually 5 meters west.

Answer 2

The displacement is 2 m.

Distance and direction

It is the measure of length in a direction.

How to calculate the displacement?

She goes in the west direction net is 2 m.

It is explained in the diagram properly.

Thus, the displacement is 2 m.

More about the distance and direction link is given below.