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(a) Use Euler's method to derive a new iterative numeric approximation to the velocity of the parachutist, v(t;+1), given the velocity, v(t;). 75.3, k = 0.234, g = 9.81 and v(0) = 0. Approximate the velocity 1 seconds using your method from (a). (b) Let m = at time tį = 0.5 and t2

(a) Use Euler's method to derive a new iterative numeric approximation to the velocity of the parachutist, v(t;+1), given the velocity, v(t;). 75.3, k = 0.234, g = 9.81 and v(0) = 0. Approximate the velocity 1 seconds using your method from (a). (b) Let m = at time tį = 0.5 and t2

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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(a) Use Euler's method to derive a new iterative numeric approximation to the velocity of the parachutist, v(t;+1), given the velocity, v(t;). (b) Let m = 75.3, k 0.234, g = 9.81 and v(0) = 0. Approximate the velocity at time t1 = 0.5 and t2 = 1 seconds using your method from (a).
Transcribed Image Text:(a) Use Euler's method to derive a new iterative numeric approximation to the velocity of the parachutist, v(t;+1), given the velocity, v(t;). (b) Let m = 75.3, k 0.234, g = 9.81 and v(0) = 0. Approximate the velocity at time t1 = 0.5 and t2 = 1 seconds using your method from (a).
1. In our mathematical model of a falling parachutist you can model the upward force on the parachutist as a second-order relationship instead, Fu = –kv², where k is a second-order drag coefficient. This leads to the following differential equation dv dt m
Transcribed Image Text:1. In our mathematical model of a falling parachutist you can model the upward force on the parachutist as a second-order relationship instead, Fu = –kv², where k is a second-order drag coefficient. This leads to the following differential equation dv dt m
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