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My textbook says that a ball dropped vertically and a ball thrown sideways will not only both land simultaneously but their height will be corresponding for the entire fall, as shown in a diagram which has a ball falling vertically and a ball with an arch landing simultaneously.
This has really struck me as it feels intuitive that the ball dropped vertically would land faster, perhaps due to it traveling a shorter distance.
When I tried to think about it for myself, I came to the thought that perhaps it was due to gravity constantly pulling both of the balls, however would the sideways velocity not slow it downwards speed? For eg wouldn't a bullet take longer to land than a dropped bullet as it is traveling straight?