How Can Physics Explain the Phases of a Skydiver's Fall?

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SUMMARY

The discussion focuses on analyzing the phases of a skydiver's fall using physics principles. The phases identified include: 1) acceleration due to gravity (a = g), 2) gravitational force exceeding air resistance, 3) equilibrium of forces, 4) parachute deployment leading to increased air resistance, and 5) equilibrium post-deployment. Key equations discussed include the net force equation (a = F_net/m) and the drag force equation (F_drag = 0.5 * Cd * ρ * A * v^2). Understanding these concepts is essential for accurately modeling the dynamics of a skydiver's descent.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with drag force and its components
  • Basic calculus for calculating velocity over time
  • Knowledge of drag coefficients for various shapes
NEXT STEPS
  • Research the drag coefficient (Cd) values for a human body and parachutes
  • Learn about the application of calculus in physics for motion analysis
  • Explore the concept of terminal velocity and its significance in free fall
  • Investigate the effects of different body positions on a skydiver's fall
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Students studying physics, extreme sports enthusiasts, and anyone interested in the mechanics of free fall and skydiving dynamics.

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Homework Statement



I'm writing an assignment about Extreme Sports, including Skydiving and Bungee Jump,
and since I'm not that good at physics, I was hoping that maybe some of you guys could help me!

I am to analyze a skydiver, and chop the fall into phases, and use both math and physics to describe what happens at each phase.
This is what I've come up with so far.

A skydiver will go through 3-5 phases,
phase 1. a = g
phase 2. F gravity > F air
phase 3. F gravity = F air
phase 4. Parachute opens, F air > F gravity
phase 5. F air = F gravity

Homework Equations



My question to you guys is first of all, at the page http://ffden-2.phys.uaf.edu/211_fall2002.web.dir/DaneLenakerSkydiving/drag.htm under the hyperlink that says drag, you'll find an animation at the bottom of this page. I says that a = Fnet/m.
Is that really an equation for the acceleration a?

Second of all, i have come across an equation that will calculate the drag for,
F drag = 0.5*Cd*(greek letter rho)*A*v^2, how will i know what speed his traveling with at a given time, and what the cross-sectional area, A, is for a human, and most important of all, the drag coefficient for a human, and later a parachute?


The Attempt at a Solution



No solutions that are worth posting so far, sorry !
 
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That is the equation for the skydiver's acceleration (a = F_net/m, is the equation for instantaneous acceleration of basically anything with a net force applied to it). To find his speed at any given time you will need to know calculus. To find cross-sectional area, take a logical guess. Look up drag coefficients in tables.

Also, I believe you can leave off phase 1. Since there is still air when he initially jumps. Unless phase 1 is him sitting on the plane still, which seems odd that it is a phase of the jump.
 

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