Here is one thing a small doppler module can do: show the actual effect on vehicle speed of a traffic-calming speed hump on a 25 mph residential road. The leading edge of the hump is located at about 140 feet (radial distance) from the radar. This plot showing the trajectory of several different vehicles, records the measured vehicle speed as a function of radial distance (which was calculated by stepwise integration of the speed vs time data, starting from signal acquisition, which with this antenna pattern roughly corresponds to where the vehicle passes abreast of the sensor).
Looking at this data I would say that slower vehicles, which tend to be larger ones, slow down more dramatically approaching the hump, which I also notice by eye. Medium-speed vehicles have a variety of slightly different behaviors, and a few seem to simply ignore it. The road goes over the crest of a small hill around 225 ft where most cars pass out of view, so the one trajectory shown here extending beyond 300 ft. must have been a larger van or truck to still have been visible to the radar at that distance.
The lower displayed speed from 0-50 feet is just an artifact of a cosine-angle term, because the radar is positioned off to the side of the road and records apparent (radial) speed, and not true along-direction-of travel speed, but those become similar beyond about 50 feet as the radial vector and vehicle motion vectors approach alignment. I am showing cubic-spline-fits to the real data to reduce noise, but the curve fits are pretty good (except for initial scatter, where from looking more sideways you see more wheel and hubcap reflections).
EDIT: Ah, the hazards of fitting real world complexity into simplified curves. Looking at the raw data, it looks like the >300 ft trajectory was not a single track, but in fact a combination of two separate vehicles passing by, without enough space between for the algorithm to separate them out.