What program is used to add Motion Blur in 2D animation

Some animations make great use of motion blur

Here are some example in Space Dandy episode 2 fight scene, the use of motion blur is very clear and works perfectly giving the smooth effect


Also in this short animation


I’ve looked at ‘the making of’ for those animations. They start off with roughs on paper/flash, then comes the line art, then the colours, and finally the composting.

But none mention the details, like what software or how. Any tutorials?

I don’t know for sure, but they may be using Adobe After Effects for motion blur.