X(t) = 2t³ - t²
V(t) = X'(t) = 2(t³)' - (t²)' = 6t² - 2t
V(2) = 6 * 2² - 2 * 2 = 24 - 4 = 20 м/с
a(t) = V'(t) = 6(t²)' - 2(t)' = 12t - 2
a(2) = 12 * 2 - 2 = 22 м/с²
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Verified answer
X(t) = 2t³ - t²
V(t) = X'(t) = 2(t³)' - (t²)' = 6t² - 2t
V(2) = 6 * 2² - 2 * 2 = 24 - 4 = 20 м/с
a(t) = V'(t) = 6(t²)' - 2(t)' = 12t - 2
a(2) = 12 * 2 - 2 = 22 м/с²