Using the equation of motion x (t) = 7 – 2t, determine the initial coordinate of the body

| June 22, 2021 | education

Using the equation of motion x (t) = 7 – 2t, determine the initial coordinate of the body, the projection of the velocity vector, build a graph of motion.

The initial coordinate of the body is determined by substituting the value t = 0 into the equation of its motion:

x (0) = 7 – 2 * 0 = 7.

We will find the dependence of the projection of the velocity on the x axis on time by differentiating the dependence of its coordinate over time:

v (t) = d (x (t)) / dt = d (7 – 2 * t) / dt = -2.

The graph of the coordinate change from time to time x = x (t) is a straight line passing through the points (0; 7) and (7; 0).

The graph of the change in the projection of speed from time to time v = v (t) is a straight line parallel to the t axis and passing through the point (0; -2).



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