We report evidence for multiple episodes of outflow activity in the Ce
pheus A star-forming region. We present new, high signal-to-noise CSO
observations of (CO)-C-12 5 = 3 --> 2, (CO)-C-13 5 = 3 --> 2, and CS J
= 7 --> 6 emission. We also present new, interferometric and single-d
ish observations of (CO)-C-12 J = 1 --> 0 emission toward the Cepheus
A molecular outflow. Using line core velocity centroid maps, we argue
that the multiple self-absorption features in the CO J = 3 --> 2 line
profiles are tracing cool shells of material swept-up by an episodic o
utflow. We present the results of a flexible three-dimensional LTE out
flow model and radiative transfer code that best explain the observati
ons as tracing multiple generations of outflow. The difference in the
dynamical timescales between the ''old'' and ''new'' swept-up shells g
ives an estimate of similar to 1.6 x 10(5) yr between the two generati
ons of outbursts. The high-resolution (CO)-C-12 J = 1--> 0 maps obtain
ed by combining single-dish observations with interferometric data cle
arly show a shell-like morphology at low velocities. This cool shell a
ppears to encompass the hot, extremely high velocity (EHV) winds seen
in the J = 3 --> 2 transition. The interferometric observations show t
hat the current generation of outflow is being powered by the object C
epheus A-HW 2. There is also evidence for redirection of the blueshift
ed lobe of the current generation of outflow, possibly by the extended
NH3 structure Cep A-3. We present a model of the outflow geometry tha
t can explain most of the observed structures in Cepheus A. The rotati
ng, dense core traced by the CS observations is similar to 0.32 pc in
diameter and has an estimated dynamical mass of 330 M.. The velocity s
tructure of the core suggests that it is being disrupted by the high-v
elocity winds driving the molecular outflow. This new technique of ext
racting information from self-absorbed line profiles could be used to
study other deeply embedded protostellar systems. Since outflows are b
elieved to be intimately tied to accretion, such studies could lead to
constraints on mass accretion models for young stellar objects.