Posted by Katie on Saturday, December 8, 2012 at 11:48am.
The extra 0.5 seconds is the time it takes for the sound of the splash to reach you.
The height of the hand above the water surface is
(1/2)gt^2 = (4.9)(5.5)^2 = 148 m.
The speed of sound is 148/0.5 = 296 m/s
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