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.