The given function represents the position of a particle traveling along a horizontal line. s(t) = 2t³ - 3t² - (a) Find the velocity and acceleration functions. v(t) = 61²- a(t) = 12t6 - 6t-36 speeding up - 36t+ 4 for t≥ 0 (b) Determine the time intervals when the object is slowing down or speeding up. (Enter your answers using interval notation.) slowing down || X X

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