Examine the scenario.

A child starts at a position of 2 m east of his house. He moves 1 m south, 5 m west, and then 1 m north.
What is his displacement for this trip?

5 m west

1 m north

3 m west

7 m
A?

it is 3 M West

Katy is right, it's 3m west

3m WEST

To determine the displacement of the child, we need to consider both the magnitude (distance traveled) and direction of his movements.

First, let's break down the child's movements into different directions:

1. Starting position: 2 m east of his house.
2. Moves 1 m south.
3. Moves 5 m west.
4. Moves 1 m north.

Now, let's calculate the displacement step by step:

1. The child moves 1 m south. This movement doesn't affect the east-west displacement, only the north-south displacement.
Displacement: 0 m east-west, -1 m north-south.

2. The child moves 5 m west. This movement affects the east-west displacement, but not the north-south displacement.
Displacement: -5 m east-west, -1 m north-south.

3. The child moves 1 m north. This movement affects only the north-south displacement.
Displacement: -5 m east-west, 0 m north-south.

So, the final displacement is -5 m east-west and 0 m north-south. In other words, the child is 5 m to the west of his starting position.

Therefore, the correct answer is "3 m west."

1 S + 1 N = 0

5 W = 5 W
We are interested in his motion vector, not where he started
so in the end his displacement vector was 5 W