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.