# The rectilinear motion of a body along the Ox axis is given by the equation x = A + Bt, where A = 200 m

The rectilinear motion of a body along the Ox axis is given by the equation x = A + Bt, where A = 200 m, B = -5 m / s. At what point in time will the body be at the origin? what path will the body cover in ∆t = 15 s after the beginning …

Given:

x = A + B * t – body motion equation;

A = 200 meters;

B = -5 m / s;

t = 15 seconds – time span.

It is required to determine the time t1 after which the body will be at the origin of coordinates, and the distance traveled S (meters) during the time interval t.

Initial X coordinate is initial equal to 0, then:

0 = A + B * t;

0 = 200 – 5 * t;

5 * t = 200;

t = 200/5 = 40 seconds.

Since the speed of the body is equal to B, then:

S = B * t = -5 * 15 = -75 meters (minus sign means that the body will move in the negative direction of the coordinate system).

Answer: the body will be at the origin of the coordinate system in 40 seconds, in 15 seconds from the start of movement, the body will pass 75 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.