x (t) = 3 – 4 * t + 2 * t ^ 2.
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.
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