Posted by Jake on Sunday, September 27, 2009 at 12:21pm.
You have not been given enough information to answer this problem.
In general, for objects falling near the surface of the earth, the acceleration is -g = -9.8 m/s^2, no matter how long it takes to come down. The minus sign indicates downward acceleration
If you did not know the value of g (for example, if you were on an unknown planet), you could determine the acceleration (a) if you knew the launch velocity of the ball (V). The time it takes to come down (T) is given by
a T/2 = V
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