Explanation Given information: Mass of skydiver = 60 kg Formula used: The differential equation free fall in the air resistance v ' = − ( k g w ) ( v w / k ) ........ ( 1 ) The general solution is v ( t ) = − g m k + c e − ( k / m ) t Calculation: Since C e − ( k / m ) t tends to zero as t → ∞ , v ( t ) tends to a terminal velocity Terminal velocity lim

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ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Chapter 9.2, Problem 13E

To determine

The terminal velocity, in meters per second, assuming that k=10 kg/s for free fall.

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Chapter 9.2, Problem 12E

Chapter 9.2, Problem 14E

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Chapter 9 Solutions

Calculus: Early Transcendentals

Ch. 9.1 - Prob. 1PQ Ch. 9.1 - Prob. 2PQ Ch. 9.1 - Prob. 3PQ Ch. 9.1 - Prob. 4PQ Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E

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The terminal velocity, in meters per second, assuming that k = 10 kg/s for free fall.

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The terminal velocity, in meters per second, assuming that k=10 kg/s for free fall.

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Chapter 9 Solutions