Understanding horizontal and vertical components of a falling object

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SUMMARY

The discussion clarifies the distinction between horizontal and vertical components of a falling object. When an object is dropped from a plane with negligible air resistance, its horizontal component of velocity remains constant and equal to the initial horizontal velocity until it hits the ground. The horizontal acceleration is zero, as no forces act in the horizontal direction. Therefore, the horizontal component of the object's velocity upon impact is identical to its initial horizontal velocity, except in cases where the object is dropped straight down, resulting in no horizontal component.

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I want to understand this: In the case of a dropped object, the horizontal component of the velocity with which the object hits the ground is not the same thing as the horizontal velocity itself, am i right? The horizontal component of the velocity when the object hits the ground means the horizontal component of the initial velocity?
Say an object is dropped from a plane at a certain speed(horizontal velocity), air resistance is negligable. The horizontal component of the velocity with which the object hits the ground would be zero because air resistance is negligable?
 
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Assuming air resistance is negligible, the horizontal component of initial velocity and of final velocity are equal, but they are not equal to zero (unless the object has been dropped straight downward along the y-axis, in which case there is no horizontal component). So when the object hits the ground, the magnitude of its velocity in the horizontal direction is exactly the same as the magnitude of its velocity in the horizontal direction at the moment is was released/launched.

The horizontal ACCELERATION is zero, though, because no force is acting upon the object in the horizontal direction.

Keep in mind that in the sort of situation you're talking about, the horizontal component is completely separate from the vertical component. One has nothing to do with th other, unless you're combining them to look at the complete trajectory of the object.
 

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