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https://texercises.com/exercise/maximum-height-of-an-anti-aircraft-shell/
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The following quantities appear in the problem: Geschwindigkeit \(v\) / Strecke \(s\) / Beschleunigung \(a\) / Verhältnis / Anteil \(\eta\) /
The following formulas must be used to solve the exercise: \(\eta = \dfrac{a}{A} \quad \) \(s = \dfrac{v^2-v_0^2}{2a} \quad \)
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Exercise:
An anti-aircraft shell is fired vertically upward with an initial velocity vO and reaches a height hO. What fraction of the height it would attain in a vacuum does this represent?

Solution:
In a vacuum a body fired vertically upwards would reach a height of s fracv^g fracqtyv^ ncg s approx sS sP. In Earth's air-filled atmosphere the projectile still reaches eta fracs's fracs'fracv^g fracgs'v^ frachs nt approx ntP ntpP of that. eta fracgs'v^ ntP ntpP
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Exercise:
An anti-aircraft shell is fired vertically upward with an initial velocity vO and reaches a height hO. What fraction of the height it would attain in a vacuum does this represent?

Solution:
In a vacuum a body fired vertically upwards would reach a height of s fracv^g fracqtyv^ ncg s approx sS sP. In Earth's air-filled atmosphere the projectile still reaches eta fracs's fracs'fracv^g fracgs'v^ frachs nt approx ntP ntpP of that. eta fracgs'v^ ntP ntpP
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Attributes & Decorations
Tags
freier fall, mechanik, physik, prozentrechnen, vertikaler wurf
Content image
Difficulty
(2, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration