( Background: Note that
this shows that your results are consistent with the correspondence
principle part of the de Broglie hypothesis, namely that average
behavior of the wavepacket evolves according to Newton's Laws. The
result you find here is a specific case of Ehrenfest's theorem which
we will prove in lecture.)
Hint: Using your results from Problem Set 4 for the Fourier Transform of a Gaussian, you should be able to find readily. With and in hand, you should be able to evaluate the integrals for <x> and <p> very quickly by symmetry.