We consider spacelike geodesics in two-dimensional spacetimes. In the case of the AdS$_2$ black hole, their length increases linearly with time for long times, compared to the inverse temperature. In dS$_2$, spacelike geodesics anchored at the same time, only exist at $t=0$. To interpret this result holographically, we embed a patch of dS$_2$ inside an AdS$_2$ spacetime. In that case, geodesics only exist for a time of order the inverse temperature and their length decreases with time. We comment on possible implications of this result in terms of two-point correlators and holographic complexity.