The body coordinates on the plane changed from (6; 4) to (9; 8). find the move module.

Given:

(6; 4) – coordinates of the body at the initial moment of time;

(9; 8) – coordinates of the body at the final moment of time.

It is required to determine the module of movement S.

Let’s find the module of movement along the X axis:

Sx = X1 – X0 = 9 – 6 = 3 meters.

Let’s find the module of movement along the Y-axis:

Sy = Y1 – Y0 = 8 – 4 = 4 meters.

Then the modulus of movement of the body will be equal to:

S = (Sx ^ 2 + Sy ^ 2) ^ 0.5 = (3 ^ 2 + 4 ^ 2) ^ 0.5 = (9 + 16) ^ 0.5 = 25 ^ 0.5 = 5 meters.

Answer: the module of movement of the body is 5 meters.