For one entity to initiate a meeting, interception, or rendezvous with another, such situations necessitate both accurate perception of the target’s trajectory and also planning of one’s own trajectory. To examine these cognitive processes and resulting performance trends, the current study presented participants with simplified simulated ship rendezvous scenarios in which they had to predict a target ship’s future course while planning their own actions to facilitate a meeting. Rendezvous error increased under high time pressure, either when the ships started by moving towards each other, or when the target ship moved faster than the user’s ship. When participants missed a rendezvous, they often did so by passing behind the target ship as if maneuvering too late. Participants also preferred to adjust both the heading and the speed of their ship when maneuvering. Finally, users took longer to assess situations characterized by high time pressure.