The speed of the body changes according to the law v = 2 * (1 + 2 * t ^ 2). With what acceleration does the body move in 1 s after the start of motion?
Problem data: V (law of speed change) = 2 * (1 + 2 * t ^ 2); t (considered duration of movement) = 1 s.
1) The law of change in the acceleration of a body: a (t) = V ‘= 2 * (1 + 2 * t ^ 2)’ = 2 * (0 + 2 * 2t) = 8t.
2) Acceleration 1 s after the start of movement: a (1) = 8t = 8 * 1 = 8 m / s2.
Answer: After 1 s after the start of movement, the body should move with an acceleration of 8 m / s2.
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