  We investigate the time evolution of the thermopower in a vibrating quantum
dot suddenly shifted into the Kondo regime via a gate voltage by adopting the
time-dependent non-crossing approximation and linear response Onsager
relations. Behaviour of the instantaneous thermopower is studied for a range of
temperatures both in zero and strong electron-phonon coupling. We argue that
inverse of the saturation value of decay time of thermopower to its steady
state value might be an alternative tool in determination of the Kondo
temperature and the value of the electron-phonon coupling strength.
