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The falling parachutist satisfies the following dv dt =g-=v₁ m Where v is the velocity of the parachutist (m acceleration (m/s2), c is drag coefficient (kg/ parachutist. Take g = 9.8067, m as your own w your matrix number, If the last digit of your r 10. Estimate the velocity of the parachutist till and fourth-order Runge-Kutta method with A

The falling parachutist satisfies the following dv dt =g-=v₁ m Where v is the velocity of the parachutist (m acceleration (m/s2), c is drag coefficient (kg/ parachutist. Take g = 9.8067, m as your own w your matrix number, If the last digit of your r 10. Estimate the velocity of the parachutist till and fourth-order Runge-Kutta method with A

Advanced Engineering Mathematics
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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Q4 (a) The falling parachutist satisfies the following differential equation: dv = g dt -v, m Where v is the velocity of the parachutist (m/s), t is time (s), g is gravity acceleration (m/s?), c is drag coefficient (kg/s) and m is the mass of the parachutist. Take g= 9.8067, m as your own weight and c is the last digit of your matrix number, If the last digit of your number is zero then take c = 10. Estimate the velocity of the parachutist till time t= 2 using the Euler's and fourth-order Runge-Kutta method with At =1 and vo = 0. Find exact solution then find the absolute errors for each method. Conclude which method is more accurate?
Transcribed Image Text:Q4 (a) The falling parachutist satisfies the following differential equation: dv = g dt -v, m Where v is the velocity of the parachutist (m/s), t is time (s), g is gravity acceleration (m/s?), c is drag coefficient (kg/s) and m is the mass of the parachutist. Take g= 9.8067, m as your own weight and c is the last digit of your matrix number, If the last digit of your number is zero then take c = 10. Estimate the velocity of the parachutist till time t= 2 using the Euler's and fourth-order Runge-Kutta method with At =1 and vo = 0. Find exact solution then find the absolute errors for each method. Conclude which method is more accurate?
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