The time dependence of the body coordinate is given by the equation х = 3 + t2 – 4t (m).

The time dependence of the body coordinate is given by the equation х = 3 + t2 – 4t (m). The coordinate of the body at the moment of its stop is …

Problem data: the dependence of the coordinates of the specified body on time: x = 3 + t ^ 2 – 4t.

1) Dependence of the speed of the specified body on time: V = S ‘= (3 + t ^ 2 – 4t)’ = 0 + 2t – 4 = 2t – 4.

2) Duration of movement to stop: V = 0 = 2t – 4 and t = 4/2 = 2 s.

3) Coordinate of the specified body at the moment of stopping: x (2) = 3 + 2 ^ 2 – 4 * 2 = -1 m.

Answer: At the moment of stopping, the coordinate of the specified body will be equal to -1 m.