The movement of the body is given by the equation x = 3-4t + 2t ^ 2 find the initial velocity.

If the movement of the body in a given coordinate system is uniformly accelerated, then the change in the coordinate of the body at time t can be represented as a function:

x = x0 + V0t + at ^ 2/2.

Specified function: x = 3 – 4t + 2t ^ 2.

Therefore, x0 = 3 m; V0 = -4 m / s; a = 4 m / s ^ 2.

The velocity of the body is negative, since in a given frame of reference, the velocity vector of the body is directed in the opposite direction relative to the coordinate axis.

Answer: The module of the initial velocity of the body is 4 m / s.