Posted by Katie on Saturday, December 8, 2012 at 11:44am.
The sphere will have negligible aerodynamic drag compared to the weight (unless it is made of something hollow, or very light like Styrafoam). In that case
H = (1/2)gt^2 , so
g = 2H/t^2 = 10.2 m/s^2
The paper will take longer to reach the ground because aerodynamic drag will be a larger fraction of the weight. It will reach terminal velocity sooner, and tend to so from side to side if it is a flat piece of pasper.
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