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

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When a ball is thrown forward or backward in a moving train, both balls will land at the same distance from the thrower, assuming the train's speed is constant. This phenomenon is explained by Galilean relativity, which states that the motion of the train does not affect the relative motion of the balls. The forward throw behaves like it would in a stationary train, while the backward throw also lands at the same distance due to the train's constant speed. The discussion highlights the principles of motion and relativity as outlined by Galileo. Understanding these concepts clarifies the behavior of objects in a moving frame of reference.
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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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