Answer:
15 meters
Step-by-step explanation:
Displacement is a vector quantity that describes the change in position of an object. In this case, the displacement is the change in position of an object that has moved 9 meters north and 12 meters west.
To find the displacement, you need to find the resulting change in position of the object. This can be done by drawing a vector diagram and finding the vector that represents the net change in position.
To do this, you can draw a coordinate grid and mark the starting position of the object at the origin (0,0). Then, draw a vector that points 9 meters north and another vector that points 12 meters west. The displacement vector is the vector that connects the starting position to the final position, which is the sum of the two movement vectors.
In this case, the displacement vector would point in a direction that is slightly northwest of due west. Its length could be calculated using the Pythagorean theorem:
displacement = squaeroot((9^2) + (12^2))
displacement = 15 meters
So, the displacement of the object that moves 9 meters north and 12 meters west is 15 meters.