Bullet Drop vs. Bullet Shot: Which Reaches the Ground First?

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jklamont
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My question is not homework, but a simple physics question that caused discussion (and differing opinions from people with no scientific background) and needs a scientific answer:

If one person dropped a bullet from 5 feet and another person shot a bullet at a height of 5 feet, would they both reach the ground at the same time?
 
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jklamont said:
My question is not homework, but a simple physics question that caused discussion (and differing opinions from people with no scientific background) and needs a scientific answer:

If one person dropped a bullet from 5 feet and another person shot a bullet at a height of 5 feet, would they both reach the ground at the same time?
What is even more intriguing is that if one person dropped a bullet B1 from any height and another bullet B2 was fired from a gun at ground level aimed at B1 at the exact moment B1 was dropped, the two bullets would collide no matter how fast B2 was fired.
 
That is all assuming, of course, that air resistance is negligible. It is based on the fact that horizontal and vertical motion are independent.