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?
 
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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?