Inferring dynamical information from (bio)mechanical systems at a high temporal resolution can be very valuable for cardiovascular or musculoskeletal applications. Spectro-dynamic MRI is a recently proposed method that combines a measurement model and a dynamical model to characterize dynamical systems directly from k-space data. Both the displacement fields and the underlying dynamical parameters are estimated. In this work, different sampling trajectories and acquisition orderings are used to investigate the trade-off between temporal resolution and k-space coverage. A phantom experiment shows that it is possible to reconstruct a moving image from the estimated dynamics at a temporal resolution of 4.4 ms.