A material point moves along the axis ОX What is the displacement of a point in the first 4 s if its movements

A material point moves along the axis ОX What is the displacement of a point in the first 4 s if its movements in the SI system are described by the equation X = 4-2t + t ^ 2

t = 4 s.

X (t) = 4 – 2 * t + t ^ 2.

S -?

The displacement S is a vector that connects the starting and ending positions of the body.

Since the movement occurs along one axis OX, the displacement S is found by the formula: S = X – X0, where X is the coordinate of the final position of the body, X0 is the initial coordinate of the body.

The initial coordinate is the coordinate of the body when t = 0 s.

X0 = 4 – 2 * 0 + (0) ^ 2 = 4 m.

X = 4 – 2 * 4 + (4) ^ 2 = 12 m.

S = 12 m – 4 m = 8 m.

Answer: the displacement of the material point in the first t = 4 s was S = 8 m.