Calculating Terminal Velocity with Wind Resistance in Falling Objects

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SUMMARY

The discussion focuses on calculating terminal velocity for falling objects, specifically when accounting for wind resistance and the act of jumping. Participants analyze a scenario involving a jump from a 7th story building, approximately 70 feet high, and note that the additional height from a jump (8 inches) results in a minimal speed increase of about 0.2 mph upon impact. The complexities of air resistance are highlighted, emphasizing that it varies based on the orientation of the falling object, ultimately concluding that a person would reach a speed of around 45 mph upon hitting the ground.

PREREQUISITES
  • Understanding of basic physics concepts such as acceleration and gravity
  • Familiarity with the equations of motion in physics
  • Knowledge of air resistance and its effects on falling objects
  • Basic mathematical skills for calculations involving height and speed
NEXT STEPS
  • Research the physics of terminal velocity and its calculation methods
  • Explore the effects of different body positions on air resistance during free fall
  • Study the mathematical modeling of wind resistance in falling objects
  • Learn about the terminal velocity of various animals and how it affects their survival
USEFUL FOR

Physics students, educators, and anyone interested in the dynamics of falling objects and the impact of air resistance on terminal velocity.

tombombodil
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My friends and I were having a discussion about falling and new the whole rate of acceleration and what not, but where unsure how to account for A) wind resistance and B) the act of jumping.

So assuming that we "jump" from a 7th story building, and assuming that each story is 10 feet, and all other factors are static. Assuming that One "jumps" roughly 8in 20.3cm, how would you go about calculating how fast you would be going when you hit the ground, accounting for wind resistance?
 
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If you can calculate how fast you would hit the ground from 70 ft, then to account for the "jump" you simply calculate how fast you would hit the ground from 70 ft + jump...which would be 70 ft and 8 in. Not much of a difference (around .2 mph)

Accounting for air resistance is not as easy because it depends on how you fall (straight as an arrow, flat with arms spread out, countless other positions), and it slows you down as a square function of your speed. However from a 7th story it probably wouldn't make much of a difference as you'd only be going about 45 mph.
 
No problem if you happen to be a mouse, apparently. Their terminal velocity is very low and they can just walk (/limp?) away after landing.
 

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