Here is a simple particle system hitting a plane with the collision on and also with a high stickiness.
The objects marked with red have already landed and still have motion blur. The orange has just landed.
For comparison motion blur vs turned off:
How can I fix this?
Edited:
If this is really a bug, as commented on @Yann Masoch's answer, is there a workaround? probably converting the particles to rigid bodies, a mesh, a compositing trick, etc.