Projectile motion velocity question

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Discussion Overview

The discussion revolves around the relationship between the x component of initial velocity and the velocity of a projectile at its maximum height, specifically within the context of projectile motion. The scope includes theoretical considerations and assumptions regarding ideal conditions versus real-world factors such as air resistance.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • Some participants assert that the x component of the initial velocity is equal to the velocity of the projectile at maximum height, citing that the x-component remains constant due to the absence of acceleration in the x-direction.
  • Others emphasize that at maximum height, the y-component of velocity is zero, leading to the conclusion that the overall velocity is solely determined by the x-component.
  • Some participants clarify that the discussion assumes a vacuum, where no external forces act on the projectile.
  • Another viewpoint introduces the consideration of real-world conditions, noting that drag force from air would affect both x and y components of velocity, suggesting that in practical scenarios, the x-component may not remain constant.
  • It is mentioned that if wind is present, it could further influence the projectile's motion, complicating the analysis beyond ideal assumptions.

Areas of Agreement / Disagreement

Participants generally agree on the theoretical framework of projectile motion in a vacuum, but there is disagreement regarding the implications of real-world factors such as air resistance and wind, which complicate the analysis.

Contextual Notes

The discussion highlights limitations related to assumptions of ideal conditions, such as neglecting air resistance and other external forces, which may not hold in practical applications.

J-dizzal
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Is the x component of the initial velocity equal to the velocity of the projectile at max height?

v0cosθ0i = vmax heighti
 
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J-dizzal said:
Is the x component of the initial velocity equal to the velocity of the projectile at max height?

v0cosθ0i = vmax heighti

Yes it is. The ##x##-component never changes since there is no acceleration in the ##x##-direction. At maximum height, ##v_y = 0##, so ##\vec{v} = v_0 \cos{\theta_0} \hat{\imath}##.
 
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we are talking in vacuum, right?
 
gsal said:
we are talking in vacuum, right?
yes that is the assumption
 
well if want to solve in real world then you have to consider drag force of air which will act on both x and y component and if wind is also blowing then it will effect the answer more but in ideal case as there is no acceleration along x direcion so dv/dt is 0 so velocity along x (v0 cos(angle of projection from horizontal) does not changes.
 

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