1. The problem statement, all variables and given/known data In the situations where a transverse or longitudinal wave is propagating through a medium, the medium moves. How do you determine the speed of the medium's motion? When is the medium's speed at a maximum? 2. Relevant equations The speed of the propagating wave is v = frequency X wavelength. speed of the medium = distance / time elapsed 3. The attempt at a solution The speed at the maximum and minimum height from the wave's equilibrium point is 0. I think the speed of the medium during each oscillation due to the wave's propagation is greatest at the wave's equilibrium point. But does the medium accelerate when it ascends and descends from crest to trough, respectively? Is it necessary to find the length of the wave?