Sound, a form of energy can be modeled by using two distinctly different approaches.

a) Describe the propagation of sound energy through air by discussing the motion of individual particles. Include possible mathematical equations that might apply.

Ans: Sound energy propagation via air molecules would be air colliding into each other transferring energy from one molecule to the other and back and forth.

b) describe the propagation of sound energy through air by discussing waves include possible equations that might apply.

Ans: Sound energy propagates in longitudinal wave, which will consist of compression and expansion of air molecules alone the direction of the motion; i.e experiencing medium oscillations along the x-axis.

Are those explanations correct? What mathematical equations do i need to apply?