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>"speed of the water is v, both before and after" Wow. Very strange water.
Jim Green
Jim notwithstanding, if we accept speed as a scalar and velocity as a vector,
which (despite list misgivings) is often allowed to take negative values in
one dimension, then specifying an eastward speed 'x' as a velocity of x1
and a westward speed of 'x' as a velocity of -x1 leads to a change
of velocity
given by the difference of the velocities, or x - -x = 2x
This does not seem to be specially controversial.
Brian Whatcott Altus OK Eureka!