Q4 (а) The falling parachutist satisfies the following differential equation: dv = a - dt C v, m where v is the velocity of the parachutist (m/s), t is time (s), g is gravity acceleration (m/s²), 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.
Q4 (а) The falling parachutist satisfies the following differential equation: dv = a - dt C v, m where v is the velocity of the parachutist (m/s), t is time (s), g is gravity acceleration (m/s²), 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.
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: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 v0 = 0. Find exact
solution then find the absolute errors for each method. Conclude which
method is more accurate.
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