For a moving object, the velocity can be represented by a velocity-time graph. A horizontal line on a velocity-time graph, shows that the object is at constant velocity, but a sloping line on a ...

The distance travelled by an object moving at constant speed can be calculated using the equation: ...

Physics can feel inscrutable to students; this lesson helps them understand a graphing problem by analyzing their own ...

Abstract: The representation form of multimodal motion prediction results is critical to the efficiency of the prediction-planning workflow. However, most existing methods generate multiple sets of ...

Abstract: This paper introduces a hierarchical motion planning strategy for autonomous tractor-trailer systems, designed for efficient long-horizon, collision-free maneuvering in complex environments.

We study Markov processes where the "time" parameter is replaced by paths in a directed graph from an initial vertex to a terminal one. Along each directed path the process is Markov and has the same ...