Question

A child walks 5.0 meters north, then 4.0 meters east, and finally 2.0 meters south. What is the magnitude of the resultant displacement of the child after the entire walk?

Please explain, show work, & diagram

Answer 1

The magnitude of the resultant displacement is 4.0 meters.

Step-by-step explanation:

To find the magnitude of the resultant displacement, we need to add the individual displacements together. We can do this graphically by drawing a diagram.

Starting from the origin, we first walk 5.0 meters north. We can represent this as a vector pointing north. Then, we walk 4.0 meters east, which can be represented as a vector pointing east. Finally, we walk 2.0 meters south, which can be represented as a vector pointing south.

Using the diagram, we can see that the vectors pointing north and south cancel each other out, leaving only the vector pointing east. The magnitude of this vector is 4.0 meters. Therefore, the magnitude of the resultant displacement of the child after the entire walk is 4.0 meters.

Answer 2

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