How can I calculate the magnitude of displacement?
1 Answer
May 29, 2018
Explanation:
 think of a point P on the curvilinear path that moves from point A to point B.

The movement of the P point can be described by a reference point.

That reference point is O (0,0).

The coordinates of points A and B are
#(x_1, y_1) # and#(x_2, y_2)# respectively. 
Now let's draw a vector pointing to the first position of the P point. This vector is the position vector.

As the dot moves, the length and direction of the vector change.

We describe the change in the position of the point P with a vector because the displacement takes place in a certain direction.

This vector is represented by green color.

the magnitude of the displacement vector (green) can be calculated by various methods.

We can use the Pythagorean theorem in the ABC triangle.
#o=sqrt((x_2x_1)^2+(y_2y_1)^2)#