The equation of movement of an athlete running along the OX axis has the form x = -100 + 5t What will be the movement speed

The equation of movement of an athlete running along the OX axis has the form x = -100 + 5t What will be the movement speed and the athlete’s x coordinate 1 min after the start of observation?

x (t) = – 100 + 5 * t.

t = 1 min = 60 s.

x -?

V -?

To find the coordinates of the body, we substitute the time value t = 60 s into the dependence x (t) = – 100 + 5 * t.

x (60 s) = – 100 + 5 * 60 = 200 m.

With uniform rectilinear motion, the coordinate of the body depends on time as follows: x (t) = x0 + V * t, where x0 is the initial coordinate of the body, V is the speed of the body.

For the dependence x (t) = – 100 + 5 * t, the initial coordinate of the athlete x0 = – 100 m, the athlete’s speed of movement V = 5 m / s.

The motion is called uniform, in which, for any equal intervals of time, the body travels equal distances. with uniform motion, the speed of the body does not change V = const.

Answer: x = 200 m, V = 5 m / s.



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.