The coordinate of a moving body changes over time according to the following law x = -5-2t

| June 25, 2021 | education

The coordinate of a moving body changes over time according to the following law x = -5-2t determine the initial coordinate of the body and the projection of the velocity.

Given:
x (t) = -5 – 2 * t – the law by which the coordinate of the body changes.

It is required to determine the initial coordinate of the body x0 (meter) as well as the projection of the velocity v (m / s).

To find the initial coordinate of the body, it is necessary to substitute in the equation of motion t = 0 (the initial moment of time):

x0 = -5 + 2 * 0 = -5 + 0 = -5 meters.

We find the projection of the velocity to carry out the first-degree derivative of the equation of motion:

v = x (t) ‘= (-5 + 2 * t)’ = -2 m / s, | v | = 2 m / s.

The minus sign means that the body is moving towards the negative side of the coordinate system.

Answer: the initial coordinate of the body is -5 meters, the projection of the velocity is 2 m / s.



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