The wave function ψ(x,t) = A[e^{i(2kx - 4ωt)} - e^{i(4kx - 16ωt)}] describes a particle oscillating in a one-dimensional path. Constants k and ω are real and positive. Determine v_av using the approach where v_av is the ratio of the distance moved by the maxima divided by the change in time. Hint: Use values of t in the form nπ/ω.