Why Do Horizontally Fired and Vertically Dropped Bullets Land Simultaneously?

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SUMMARY

Bullets fired horizontally and dropped vertically land simultaneously due to the independence of horizontal and vertical motions under gravity. Both bullets cover the same vertical distance and experience the same gravitational acceleration, resulting in identical fall times when air resistance is neglected. A bullet fired straight down will reach the ground faster than one simply dropped, as it retains thrust until it exits the muzzle. Understanding these principles is crucial for accurate long-distance shooting, as projectile motion complicates aiming.

PREREQUISITES
  • Basic understanding of projectile motion
  • Familiarity with Newton's laws of motion
  • Knowledge of gravitational acceleration
  • Concept of air resistance and its effects on motion
NEXT STEPS
  • Study the principles of projectile motion in physics
  • Learn about the effects of air resistance on bullet trajectories
  • Explore advanced ballistics and aiming techniques for long-distance shooting
  • Investigate the differences in bullet behavior when fired at various angles
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Physics students, firearms enthusiasts, and anyone interested in understanding the dynamics of projectile motion and its implications for shooting accuracy.

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Why does a bullet fired horizontal and bullet dropped vertically downward, land at the same time? Shouldn't the object thrown downward fall sooner as it has a shorter distance to cover even though gravity pulls both of the down at the same rate?

Does it have to do anything with the fact that the bullet which is fired has greater thrust?

Would the same apply if the bullet was fired in both cases? i.e. both the bullets shot from a gun at the same velocity and speed, one vertically downward and the other horizontally.

Also if a bullet shot from a gun travels in a parabolic path wouldn't that make it very hard to aim straight?

Thanks!
 
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Neglecting air resistance (which does make a slight difference, but it's way beyond the scope of discussion) you can look at horizontal and vertical motions as completely separate. Both bullets have the same vertical distance to cover, and so take the same amount of time to cover that distance. Obviously, if you fire a gun straight down, rather than just drop the bullet, this bullet would get to ground much faster. Regardless, however, a bullet that has left the muzzle no longer experiences any thrust, and is in free projectile motion. And yes, it's something you have to take into account if you are aiming from long distance, and yes, it does make it quite a bit harder to hit your target.
 
K^2 said:
Neglecting air resistance (which does make a slight difference, but it's way beyond the scope of discussion) you can look at horizontal and vertical motions as completely separate. Both bullets have the same vertical distance to cover, and so take the same amount of time to cover that distance. Obviously, if you fire a gun straight down, rather than just drop the bullet, this bullet would get to ground much faster. Regardless, however, a bullet that has left the muzzle no longer experiences any thrust, and is in free projectile motion. And yes, it's something you have to take into account if you are aiming from long distance, and yes, it does make it quite a bit harder to hit your target.

Thank you
 

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