The law of motion of a material point along the OX axis has the form: x (t) = 2-4t. Determine:

| May 5, 2021 | education

The law of motion of a material point along the OX axis has the form: x (t) = 2-4t. Determine: 1) the coordinate of the point at time t0 = 0; 2) the coordinate of the point at time t1 = 2s; 3) the path traversed by the point in time t = 3s.

1) The equation of motion of a material point, the law of motion of which along the OX axis has the form: x (t) = 2 – 4t, describes the uniform rectilinear motion of a point directed in the direction opposite to the positive direction of the Ox axis, since the projection of the velocity vector (- 4) negative. Let us determine the coordinate of the point at the moment of time t0 = 0 s: x (0) = 2 – 4 • 0 = 2 (m).
2) Let us now find the coordinate of the point at time t1 = 2 s, x (2) = 2 – 4 • 2 = – 6 (m).
3) To find the path traversed by a point in time t = 3s, it is necessary to find x (0) and x (3), since S = | x (3) – x (0) |. x (0) = 2 (m); x (3) = 2 – 4 • 3 = – 10 (m).
S = | x (3) – x (0) | = | – 10 – 2 | = | – 12 | = 12 (m). Answer: x (0) = 2 m; x (2) = – 6 m; S = 12 m.



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