At the initial moment of time for a given body, Xo = 3m, and Vx = -1 m / s. A)
At the initial moment of time for a given body, Xo = 3m, and Vx = -1 m / s. A) Write down the equation of motion of the body if it moves straight and uniformly.
Ho = 3 m.
Vх = -1 m / s.
X (t) -?
The equation of motion for uniform rectilinear motion of the body has the form: X (t) = X0 + Vx * t, where X0 is the coordinate of the body at the beginning of the motion, Vx is the projection of the speed of motion onto the coordinate axis OX.
Since X0 = 3, Vx = -1 m / s, then the dependence of the coordinates of the body on time X (t) will have the form: X (t) = 3 – 1 * t.
The sign “-” indicates that the speed of the body is directed in the opposite direction of the direction of the OX axis, the body moves in the opposite direction of the OX axis.
Answer: the movement of the body is described by the equation X (t) = 3 – 1 * t.