Designan exprriment or a way of finding out if a plant actully moves

Using a movie or video camera that takes one image every few seconds would help to verify this. (This has already been done.)

http://en.wikipedia.org/wiki/Rapid_plant_movement
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http://www.biologie.uni-hamburg.de/b-online/e32/32.htm
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http://www.bbc.co.uk/dna/h2g2/A378641

You don't need an experiment. An experiment might be used to determine if some event is influencing the movement.

I hope this helps. Thanks for asking.