What happens to a ball thrown forward vs. backward in a moving train?

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In a moving train, when a ball is thrown forward or backward, both balls land at the same distance from the thrower. This phenomenon is explained by Galilean relativity, which states that there is no difference in the behavior of objects in a motionless frame versus a frame moving at constant speed. The discussion references Galileo Galilei's principles, confirming that the constant speed of the train does not affect the distance the balls travel relative to the thrower.

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Can someone answer this question? If I throw a ball forward and another one backward (opposite to the train's movement) in a moving train, do both balls land at an equal distance from the thrower? I suspect throwing a ball forward is the same as throwing it in a motionless train but what about the ball thrown backward - does it land within a shorter distance?

The speed of the train is constant.
 
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Assuming that the ball and the throw are the same, the ball will land at the same distance from the thrower.

As you mentioned yourself, there is no difference between a motionless train and one that is moving at constant speed (Galilean relativity).
 
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Thanks for the reply DrClaude. Right after my post I read an excerpt from Galileo Galilei's book and I understood how it works (in Galileo's case he was testing moving objects within a ship's hull).
 
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