Shooting or dropping a projectile

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In a vacuum, both a horizontally launched projectile and a dropped projectile hit the ground simultaneously due to the uniform acceleration of gravity. However, in reality, the projectile shot horizontally will take longer to hit the ground compared to the one dropped, due to the curvature of the Earth affecting the horizontal projectile's fall distance. When launched downward, the projectile will hit the ground first because it has initial kinetic energy, while the dropped projectile starts with potential energy. Air resistance also plays a role, as it affects the terminal velocity of the objects. Overall, the consensus is that the dropped projectile reaches the ground first in real-world conditions.
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In a vacuum, if you horizontally launch a projectile or drop it from rest it will hit the ground at the same time.

What about in reallity? IF you shoot a bullet horizontally or drop a bullet from the same height, which will hit the ground first and why?
 
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you have to state which direction horizontaly you are launching these objects.

if you were to launch it down in a vacuum then the luanched projectile would hit the ground before the on ehtat you dropped because it started with kinetic energy while the one that is dropped has full poteintial energy.

the same would happen in reality, the only differnce is that in the vacuum there would be no air resistance on the object so if it had a terminal velocity it would be much higher.
 
This was dealt with fairly extensively in a previous thread here, but my search feature doesn't go back far enough to find it. I believe the consensus was that the dropped one will hit first because the curvature of the Earth would give the horizontal one more distance to fall.
 
This has been discussed many times on PF, and will likely come up again, so the video might come handy. Previous threads: https://www.physicsforums.com/threads/is-a-treadmill-incline-just-a-marketing-gimmick.937725/ https://www.physicsforums.com/threads/work-done-running-on-an-inclined-treadmill.927825/ https://www.physicsforums.com/threads/how-do-we-calculate-the-energy-we-used-to-do-something.1052162/
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