We predict that the agitation of the sediment will be directly proportional
to the energy that goes into performing the agitation. This is motivated
by the equation for the velocity of sedimentation. If the velocity
of a given particle depends only on the particle itself and the surrounding
medium, then the time it takes to settle after being agitated depends
only on the height it reaches. Since the change in height of a particle
is proportional to its change in potential energy, given by
the degree of agitation of a single particle will depend linearly
on the amount of work done on it. If this is true for every particle,
then the degree of agitation of all the sediment as a whole will also
be linear with energy input.