Problem 1846. Free Fall analytical solution (Chapra 2012 textbook Example 1.1)

Created by Robert Canfield

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Analytical solution to bungee jumper problem.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given time series as a vector, parameters mass and drag coefficient, and gravity coefficient, compute values of bungee jumper velocity (downward speed) at given times. Assume input values are in consistent units.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Problem Statement</w:t></w:r><w:r><w:t> (Chapra, page 7): A bungee jumper with a mass of 68.1 kg leaps from a stationary hot air balloon. Use Eq. (1.9) to compute velocity for the first 12 s of free fall. Also determine the terminal velocity that will be attained for an infinitely long cord (or alternatively, the jumpmaster is having a particularly bad day!). Use a drag coefficient of 0.25 kg/m.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

70 Solutions
14 Solvers

Last Solution submitted on Feb 15, 2021

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Rafael S.T. Vieira on 3 Nov 2020

The formula #1.9 is given by https://www.sccollege.edu/Departments/MATH/Documents/Math%20180/03-11-054_Hyperbolic_Functions.pdf (If this link becomes unavailable, Google free-fall velocity hyperbolic tangent)

Problem Recent Solvers14

Problem Tags

aoe2074

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 1846. Free Fall analytical solution (Chapra 2012 textbook Example 1.1)

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers14

Suggested Problems

More from this Author17

Problem Tags

Community Treasure Hunt

Problem 1846. Free Fall analytical solution (Chapra 2012 textbook Example 1.1)

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers14

Suggested Problems

More from this Author17

Problem Tags

Community Treasure Hunt

Players