If you are using the paper plane indoors,paint two lines on the floor.
If you have a nice high ceiling,mount one TV camera facing down.
Watch the monitor,start a stopwatch when the plane crosses the first line,stop it when it passes the second,
Calculate the average speed.
If you have a low ceiling you will need two cameras,to avoid error.
This method worked well for the WA Police catching speeders in the 1970s,using a cop in a 'plane instead of the TV camera, & 0.5km spaced lines on the road.
For a while,this was popularly known as "Pigs in Space'!
(No offence intended to any Police Officers present)
Ok,this isn't automatic,but you could probably analyse the video signal & do the calculation automatically.