Phys 1301: Dropping Chestnuts from a Tree Branch

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ramancer
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While sitting on a tree branch 11 above the ground, you drop a chestnut. When the chestnut has fallen 2.3 , you throw a second chestnut straight down

What initial speed must you give the second chestnut if they are both to reach the ground at the same time?
 
Adding units to your values would be nice. I reckon you mean 11 and 2.3 meters? Which equations do you think are relevant to this problem?