Bisection Method Use bisection method to determine the drag coefficient needed so that an 80-kg bungee jumper has a velocity of 36 m/s after 4 s of free fall. Note: The acceleration of gravity is 9.81 m/s 2². Start with initial guesses of x = 0.1 and xu = 0.2 and iterate until the approximate relative error falls below 0.05%.
Bisection Method Use bisection method to determine the drag coefficient needed so that an 80-kg bungee jumper has a velocity of 36 m/s after 4 s of free fall. Note: The acceleration of gravity is 9.81 m/s 2². Start with initial guesses of x = 0.1 and xu = 0.2 and iterate until the approximate relative error falls below 0.05%.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:For all the following problems,
a)
b)
1.
You need to show at least 3 iterations calculated manually with all steps.
You do not need to include the M.files for the bisection method (bisect.m) and for false position (falspos.m). You
must, however, show the command lines for the given functions with their variables and other parameters.
Bisection Method
Use bisection method to determine the drag coefficient needed so that an 80-kg bungee jumper has
a velocity of 36 m/s after 4 s of free fall. Note: The acceleration of gravity is 9.81 m/s ².
Start with initial guesses of x1 = 0.1 and xu = 0.2 and iterate until the approximate relative error falls
below 0.05%.
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Step 1: Analysis and Introduction.
VIEWStep 2: Write the function of drag coefficient and compute the initial check.
VIEWStep 3: Compute the Iteration 1.
VIEWStep 4: Compute the iteration 2.
VIEWStep 5: Compute the iteration 3.
VIEWStep 6: Use excel and compute the iteration until the error as 0.05%
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