Projectiles and effects on gravity

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Discussion Overview

The discussion revolves around the behavior of projectiles in a gravitational field, specifically addressing the effects of initial horizontal velocity on the time it takes for projectiles to fall to the ground when air resistance is neglected. The scope includes conceptual clarification and technical explanation of projectile motion under ideal conditions.

Discussion Character

  • Conceptual clarification
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant asserts that all projectiles, regardless of their initial horizontal velocity, will fall at the same time due to the independence of horizontal and vertical motions.
  • Another participant agrees and elaborates that neglecting air resistance means all objects accelerate towards the Earth at the same rate, leading to the same flight time for all projectiles dropped from a given height.
  • A later reply introduces the idea that there could be some variation in flight time due to the curvature of the Earth, suggesting that faster horizontal projectiles may start from a greater distance above the ground compared to slower ones.

Areas of Agreement / Disagreement

Participants generally agree on the principle that horizontal motion does not affect the time of fall in a vacuum. However, the introduction of curvature effects indicates that there is some disagreement or uncertainty regarding the implications of this principle in practical scenarios.

Contextual Notes

The discussion does not resolve the implications of Earth's curvature on projectile motion, leaving this aspect open for further exploration.

kylera
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Neglecting air resistance on Earth and regardless of how fast or slow a projectile's initial horizontal velocity is when fired from the same fixed height, they will all fall at the same time. Is this because regardless of the horizontal motions, the vertical motion is the same? Can someone clear this up in more layman-like terms? Much thanks in advance.
 
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kylera said:
Neglecting air resistance on Earth and regardless of how fast or slow a projectile's initial horizontal velocity is when fired from the same fixed height, they will all fall at the same time. Is this because regardless of the horizontal motions, the vertical motion is the same? Can someone clear this up in more layman-like terms? Much thanks in advance.
This statement is equivalent to saying that neglecting air-resistance, everything accelerates towards the Earth at the same rate. So if you drop any number of objects from a given height, they will all hit the floor at the same time. In other-words, they will all spend the same amount of time in the air (flight time). Now, if you project an object horizontally it will have some horizontal velocity, but that doesn't matter since it is still accelerating towards the Earth at the same rate as if it was dropped. Therefore, the flight time will still be the same as if it were dropped.

Does that help?
 
Yes, that does clear some things up. Much thanks.
 
There could be some variation due to the curvature of the earth. If a projectile starts out horizontally and very fast, its distance to the ground will be larger than for a slow projectile.
 

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