Motion Similar to Popcorn Popping: Explained

[Seizure]

I have been trying to understand motion similar to that of popcorn popping, or a blender popping things up when blending them. If someone could explain this motion it would be greatly appreciated.

 

[Integral]

It is simple projectile motion. The popping kernel, or spinning blade provides an impulse force which serves to accelerate the object. Once it is air borne it falls back under the influence of gravity.

 

[Seizure]

Is there any specific equation which would represent this or is it just using simple impulsive momentum equations

 

[Integral]

After the impulse the the motion is governed by:

$$\ddot{x} = -g$$

once again it is projectile motion... do a web search.