Quick Question about throwing a ball vertically

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When throwing a ball vertically, the initial velocity of the ball matches the final velocity of the arm at the moment of release. However, the compressibility of the ball complicates this, as it compresses against the hand during acceleration. Upon release, the arm decelerates, raising questions about the energy transfer involved in compressing the ball. It is unclear whether the energy used to compress the ball contributes to its velocity upon launch or is dissipated during the arm's motion. Experimenting with a softly inflated balloon can help illustrate these dynamics.
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If I were to throw a ball vertically upward, would the initial velocity of the ball be the same as the final velocity of my arm?
 
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if by final you mean the second the ball leaves your hand, yes
 
Trevormbarker said:
if by final you mean the second the ball leaves your hand, yes

Yes that is what I meant, thx.
 
Maybe not so simple - a ball is compressible - so as you accelerate the ball you will compress the ball's side nearest your hand. As the ball leaves your hand your arm must have been decelerating - or presumably the ball wouldn't have left your hand. The question is what happened to the energy you used to compress the ball on acceleration - did it give a kick to the ball which was decompressing on launch or was it already recovered somewhere in your arm motion before the ball left your hand? I don't know :( Try with a softly inflated balloon to see if you can see or feel what happens on release.
 
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