Initial Velocity of a Soccer Ball

AI Thread Summary
The discussion focuses on calculating the initial velocity of a soccer ball after being kicked, using a specific equation that incorporates the mass and velocity of the kicking leg, along with the coefficient of restitution. Participants clarify that the equation indeed represents the ball's initial velocity and highlight the importance of considering static friction and elastic potential energy in the calculation. Additionally, they mention that energy lost due to the ball's elastic properties and the direction of the applied force can affect the resulting velocity. The impact of gravity on the ball's acceleration is also discussed, noting that each degree of angle affects the velocity incrementally. Understanding these factors is crucial for accurate velocity calculations.
chapabird
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I am trying to find the initial velocity of a soccer ball ,
but I found this equation and do not understand how it came about:

[PLAIN]http://superforbrain.com/files/vBall.PNG

This is supposed to give you the velocity of the ball right after its kicked, using the mass of your leg, velocity of your leg, and the coefficient of restitution [e].

Any help appreciated!

Thanks
 
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Looks like a really cool equation. Yes, it would be the initial velocity of the soccer ball.
 
The variable in velocity that isn’t described is the static friction and elastic potential energy of the two masses. What Joules are lost from the elastic properties of the ball and the direction this force is impacted. If the force is directed up, the acting force would be gravity 9.8 divide by 90=each degree 0.10 m\sec^2. So each degree your ball is incrementally accelerated towards would affect the impacted velocity by 0.10m\sec^2.TM
 

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