Plotting Hyperbolic Curve from a Moving Train's Bullet

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A train traveling at bullet speed has a man firing a gun backward as it passes a station. The bullet's velocity relative to the ground is zero at the moment of firing, leading to a scenario where it would drop straight down to the ground if in a vacuum. However, in reality, the bullet follows a hyperbolic curve due to air resistance and other factors. One participant questions the reasoning behind the bullet dropping two-thirds of the way before curving, suggesting that friction should not affect it since it has no velocity relative to the surrounding air. The discussion seeks clarification on the physics involved in this scenario.
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A train is traveling at the speed of a bullet.

A man, stood on top of the train, fire's a gun in the direction from which the train has come from. (facing rearward)

He pulls the trigger the instant the train passes station 'A'.

The velocity of the bullet relative to the ground is 0

To an observer standing on the platform (mind you, in a perfect vacuum) the bullet would drop.

In our imperfect world, the bullet would drop about 2/3 of the way and then follow the train in a hyperbolic curve.

would someone mind plotting curve ?. I am a simple web developer and this has got me curious as it was a question posted on my own forum... thanks
 
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Hi there,

Why would your bullet, in our imperfect world, would travel 2/3 of the way. The bullet is fired backward at the speed of the train => the bullet's speed compared to someone in the station would be 0. I don't see any reason for it to suddenly be bothered by friction, since it has no velocity compared to the still air surrounding. Of course, I base my assumption on the fact that the bullet leaves the barrel at the speed of the train, friction in the barrel not considered.

Can you explain the reason for this. Cheers
 
So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks
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