v(5) = 35; a(5) = 22.
Пошаговое объяснение:
1) x(t) = t³ - 4t²
v(t) = x'(t) = (t³ - 4t²)' = 3t² - 4•2t = 3t² - 8t.
a(t) = v'(t) = (3t² - 8t)' = 6t - 8.
2) v(5) = 3•5² - 8•5 = 75 - 40 = 35.
a(5) = 6•5 - 8 = 30 - 8 = 22.
v(5) = 35; a(5) = 22.
Пошаговое объяснение:
1) x(t) = t³ - 4t²
v(t) = x'(t) = (t³ - 4t²)' = 3t² - 4•2t = 3t² - 8t.
a(t) = v'(t) = (3t² - 8t)' = 6t - 8.
2) v(5) = 3•5² - 8•5 = 75 - 40 = 35.
a(5) = 6•5 - 8 = 30 - 8 = 22.