The panel refresh rate is only one of three factors that can effect motion.
I had a 120 refresh rate TV for 2 years and they replaced it with a new 240 refresh
rate TV on a warranty claim. Both have the same features as regards frame rate
and backlight strobe. Without any extra features on, the backlight strobing is the
most obnoxious to my eyes -- leaving a trail of individual images when there is motion
or when the eyes themselves move too fast. Turn on the level of backlight strobe that
you can live with -- the highest one causes the picture to dim, so avoid that one.
If you watch anything that is filmed, the frame rate will make objects jerk as they move
sideways across the screen -- just as they do in the movie theatre, by the way.
The Film Mode will fix that -- not usually needed for live sporting events, though.
The actual LCD panel refresh rate is fast enough these days to leave very minor smears.
I think what you are seeing is backlight strobe effect. Try 240 Low first and work up from there.