A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to θ(t)=γt+βt³, where γ= 0.422 rad/sand β= 1.00×10⁻² rad/s³.

Calculate the angular velocity of the merry-go-round as a function of time.

Express your answer in terms of the variables β, γ, and t.