The ultimate fate of life in a universe with accelerated expansion is considered . Previous work ( ( 1 ) ; ( 2 ) ) showed that life can not go on indefinitely in a universe dominated by a cosmological constant . In this paper we consider instead other models of acceleration ( including quintessence and Cardassian expansion ) . We find that it is possible in these cosmologies for life to persist indefinitely . As an example we study potentials of the form V \propto \phi ^ { n } and find the requirement n < -2 .