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On a vector layer, I selected some points to make a polyline, and, let a Vertex Marker move along the polyline.

Now, I want to moving the marker smoothly between two points (means I need calculate points between two selected points), and, the marker's moving speed can be special, e.g: 5 km/h.

Is there any way to make these functions?

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Check MMQGIS Animate tools. They seem to be doing something very similar to what you are looking for: interpolation of point positions between start and end point. If you have some programming skills, this would be a good point to start developing a solution specific to your requirements.

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