  We extend our study of the $K\pi$ system to moving frames and present an
exploratory extraction of the masses and widths for the $K^*$ resonances by
simulating $K\pi$ scattering in p-wave with $I=1/2$ on the lattice. Using
$K\pi$ systems with non-vanishing total momenta allows the extraction of phase
shifts at several values of $K\pi$ relative momenta. A Breit-Wigner fit of the
phase renders a $K^*(892)$ resonance mass and $K^*\to K \pi $ coupling
compatible with the experimental numbers. We also determine the $K^*(1410)$
mass assuming the experimental $K^*(1410)$ width. We contrast the resonant
$I=1/2$ channel with the repulsive non-resonant $I=3/2$ channel, where the
phase is found to be negative and small, in agreement with experiment.
