The Tips in detail

 "How do I motion blur particles?"

For visual effects on particles you will want to use materials of the kind "Particle MBlur" "Particle Velocity" and / or "Particle Age".

By setting up these parametered materials you will be able to apply certain visual modifications to each particle, like ie. fading smoke.

Particle motion blur is actually a combination of varying the opacity and the length of particles based on their speed. Accomplishing this requires coordination between material assignment and the various settings in the particle systems. Particle MBlur should be assigned as an opacity map. The particle system must support the Particle MBlur map, which currently includes from those shipping with Max: PArray, PCloud, and Super Spray only. It is important to activate the Direction of Travel option under Spin Axis/MBlur Controls. The amount of Stretch must be greater than 0 to stretch the particles as a percent of their length based on the particle Speed setting. MBlur does not work with particle types Constant and Facing.