Modeling Motion of Balloon Filled by Human

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To model the motion of a balloon filled by a human, the relevant equations include Newton's second law (F=ma) and the equation for distance (distance = vt). The balloon's slower descent compared to denser objects is primarily due to its large cross-sectional area and low mass, which increases air resistance rather than its mass alone. The vertical velocity of the balloon is affected by drag, which can be calculated using drag equations that consider the shape and speed of the balloon. Additionally, the tendency of the balloon to orient its nozzle downward during flight is influenced by its aerodynamic properties, similar to a badminton shuttlecock. Understanding these dynamics is crucial for accurately modeling the balloon's motion.
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I want to model the motion of balloon filled by a human not helium or any other gas.

what would be the equations? I know the air would've some mass so if I throw the balloon up that would f=ma ? distance = vt?

when a balloon comes down its downward motion is much slower say compare to a tiny metal piece, I assume that's because of low mass of balloon?

any other details would be appreciated.
 
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It is not really because of the low mass- all objects, of any mass, fall with the same acceleration in absence of air resistance. It is the large cross sectional area, pushing aside air, in combination with its low mass, that affects its acceleration.
 
so then what equations do apply? how do i determine what is slowing the vertical velocity of balloon?

also I've noticed that everytime I throw the baloon up it tries to make it down such that its air noozle is pointing down (most of the time) more like a badminton shuttle, is this a given or only happens in certain scenarios?
 
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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