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The velocity of a falling parachutist is given by ¹ (1 - e-( =)) V= gm C where g = 9.81 m/s². For a parachutist with a drag coefficient c = 15 kg/s, compute the mass m so that the velocity is v = 40 m/s at t = 9 s. Use Newton-Raphson Method to determine m in kg. Consider at least six (6) decimal places to your computations. Criterion: |f (m)| < 0.00005 Hint: m is more than 70 kg Write your answer on the space provided below and round-off your final answer to two (2) decimal places.

The velocity of a falling parachutist is given by ¹ (1 - e-( =)) V= gm C where g = 9.81 m/s². For a parachutist with a drag coefficient c = 15 kg/s, compute the mass m so that the velocity is v = 40 m/s at t = 9 s. Use Newton-Raphson Method to determine m in kg. Consider at least six (6) decimal places to your computations. Criterion: |f (m)| < 0.00005 Hint: m is more than 70 kg Write your answer on the space provided below and round-off your final answer to two (2) decimal places.

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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The velocity of a falling parachutist is given by gm m² (1 - e-( #)²) V = where g = 9.81 m/s². For a parachutist with a drag coefficient C = 15 kg/s, compute the mass m so that the velocity is v = 40 m/s at t = 9 s. Use Newton-Raphson Method to determine m in kg. Consider at least six (6) decimal places to your computations. Criterion: |f (m)| < 0.00005 Hint: m is more than 70 kg Write your answer on the space provided below and round-off your final answer to two (2) decimal places.
Transcribed Image Text:The velocity of a falling parachutist is given by gm m² (1 - e-( #)²) V = where g = 9.81 m/s². For a parachutist with a drag coefficient C = 15 kg/s, compute the mass m so that the velocity is v = 40 m/s at t = 9 s. Use Newton-Raphson Method to determine m in kg. Consider at least six (6) decimal places to your computations. Criterion: |f (m)| < 0.00005 Hint: m is more than 70 kg Write your answer on the space provided below and round-off your final answer to two (2) decimal places.
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