Representing Velocity, Acceleration, and Jerking as compressional waves.

[Axoren]

Homework Statement

\vec{Velocity} = \DeltaDisplacement/\DeltaTime
\vec{Acceleration} = \DeltaVelocity/\DeltaTime
\vec{Jerk} = \DeltaAcceleration/\DeltaTime

Represent the above as compressional waves. Define their frequency and amplitude as functions.

Homework Equations

See above.

The Attempt at a Solution

No clue what the hell my teacher is talking about... I think he means like amplitude would be Acceleration * Time, and Frequency would be 1 / Time, but I don't know.

 

[Thaakisfox]

Hmm, well the wave equation governing compressional waves is:

\bigtriangleup \Theta - \frac{1}{c_c^2}\frac{\partial ^2\Theta}{\partial t^2}

Where \Theta is the divergence of the displacement field, and c_c^2=\frac{2\mu+\lambda}{\rho} (\mu and \lambda are the lame constants.)

But exactly what does your teacher want with the question?

 

[Axoren]

Isn't that transverse waves? I'm doing poorly in physics...