Respuesta :

4.24 meters is the Johns displacement.

What does displacement mean in its simplest form?

The modification of an object's position is referred to as displacement. It is a vector quantity with a direction and magnitude. It is depicted as an arrow that moves from the starting point to the ending. For instance, if an object moves from position A to position B, its position changes.

(8m west) + (3m south) + (8m east) + (10m north) =

[ (2m west)+(8m east) ] + [ (3m south)+(10m north) ] =

[ (-2m east)+(4m east) ] + [ (-3m south)+(10m south) ] =

(2m east) + (7m south)

The North/South component and the East/West component are the orthogonal (perpendicular) components of the displacement that we currently have.

To combine these, it's time for Pythagoras:

Displacement = √[ (2m)² + (7m)² ]

Displacement = √ (4m² + 14m²)

Displacement = √18m²

Displacement = 4.24 meters Southeast.

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