The body moves uniformly and rectilinearly opposite to the positive direction of the OX axis.

The body moves uniformly and rectilinearly opposite to the positive direction of the OX axis. At the initial moment of time, the point had a coordinate Xo = 12 m. Determine the coordinate of point 6 s from the start of time, if the modulus of its speed is U = 3 m / s. What is the path traversed by the point During this time?

Given:

x0 = 12 meters – the initial coordinate of the body;

v = 3 m / s – body speed module;

t = 6 seconds – time span.

It is required to determine the coordinate of the body x1 (meter) from the beginning of the movement for the time interval t, and the path traversed by the body S (meter).

Since, according to the condition of the problem, the body moves rectilinearly and uniformly in the direction opposite to the positive direction of the OX axis, the equation of motion of the body will have the form:

x (t) = x0 – v * t.

Then:

X1 = 12 – 3 * 6 = 12 – 18 = -6 meters.

S = | x1 – x0 | = | -6 – 12 | = | -18 | = 18 meters.

Answer: the coordinate of the body will be -6 meters, the path traversed by the body is 18 meters.