Why do objects fall down in same place on the rotating earth? I get that newton's first law is the reason an object falling on a high speed train will maintain the same velocity as a train and therefore appear to a train passenger to fall straight down.
But why does something on a rotating mass like earth fall down in same place? The train example makes sense to me if I ignore the rotating earth that it's on. If you fell off a spinning carousel you would fly off in a straight line like a stone from a sling right? But if you jumped straight up and down on a carousel, you would land in same spot over carousel right? If so, why?