# The body is at the point with coordinates (7,2) and moved to the point with coordinates (-5,7).

The body is at the point with coordinates (7,2) and moved to the point with coordinates (-5,7). What is the modulus of body movement?

Given:

x0 = 7 meters – the initial coordinate of the body along the X axis;

y0 = 2 meters – the initial coordinate of the body along the Y axis;

x = -5 meters – the final coordinate of the body along the X axis;

y = 7 meters – the final coordinate of the body along the Y axis.

It is required to determine s (meter) – the modulus of movement of the body.

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

dx = x – x0 = -5 – 7 = -12 meters.

Let’s find the movement of the body along the Y axis:

dy = y – y0 = 7 – 2 = 5 meters.

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

s = (dx ^ 2 + dy2) ^ 0.5 = ((-12) ^ 2 + 52) ^ 0.5 = (144 + 25) ^ 0.5 = 169 ^ 0.5 = 13 meters.

Answer: the module of movement of the body is 13 meters. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.