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

x (t) = 3 – 4 * t + 2 * t ^ 2.

V0 -?

With uniformly accelerated motion, the coordinate of the body at time t depends as follows: x (t) = x0 + V0 * t + a * t ^ 2/2, where x0 is the initial coordinate of the body, V0 is the initial velocity of the body, and is the acceleration of motion.

For the dependence x (t) = 3 – 4 * t + 2 * t ^ 2, the initial coordinate is x0 = 3 m, the initial speed of movement is V0 = – 4 m / s, the acceleration of the body is a = 4 m / s2.

The sign “-” for speed means that it is oppositely directed with acceleration, the body is decelerated.

Answer: initial speed V0 = 4 m / s and directed in the opposite direction to acceleration.