Program Explanation Given information: A paratrooper fall from the height of 10000 ft., experience a resistance ρ = 0.00075 fps for 30 seconds with g = 32 ft / s 2 . Then, parachute open and he experience a resistance ρ = 0.075 fps with g = 32 ft / s 2 . The differential equation for the given system is shown below. d v d t = − g + ρ v 2 ........... (1) Solution for the above differential equation is the equation of downward motion as shown below. C 2 = tanh − 1 ( v 0 ρ g ) v ( t ) = g ρ tanh ( C 2 − t ρ g ) y ( t ) = y 0 − 1 ρ ln | cosh ( C 2 − t ρ g ) cosh C 2 | Explanation: The paratrooper jumped with initial velocity zero and initial position 10000 ft. Impose the initial condition and given constants on C 2 = tanh − 1 ( v 0 ρ g ) and obtain the value of C 2 . C 2 = tanh − 1 ( 0 ρ g ) = tanh − 1 ( 0 ) = 0 Therefore, position of the paratrooper after 30 seconds can be calculated as, y ( t ) = y 0 − 1 ρ ln | cosh ( C 2 − t ρ g ) cosh C 2 | y ( t = 30 ) = 10000 − 1 0

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ISBN: 9780100802452

Author: Calvis

Publisher: YUZU

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A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exp…

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Chapter 2.3, Problem 23P

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Program Description: Purpose of the problem is to obtain the time taken by paratrooper to reach the ground.

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Chapter 2.3, Problem 22P

Chapter 2.3, Problem 24P

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Program Description: Purpose of the problem is to obtain the time taken by paratrooper to reach the ground.

Solution Summary: The author explains that the problem is to obtain the time taken by paratrooper to reach the ground.

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Program Description: Purpose of the problem is to obtain the time taken by paratrooper to reach the ground.

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Chapter 2 Solutions