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# Falling Object. The motion of an object moving vertically ISBN: 9780321747730 43

## Solution for problem 34E Chapter 5.4

Fundamentals of Differential Equations | 8th Edition

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Problem 34E

Falling Object. The motion of an object moving vertically through the air is governed by the equation where y is the upward vertical displacement and V is a constant called the terminal speed. Take g = 32 ft /sec2 and V = 50 ft/sec. Sketch trajectories in the yv-phase plane for starting from y = 0 and v =-75,-50, -25, 0, 25, 50, and 75 ft/sec. Interpret the trajectories physically; why is V called the terminal speed?

Step-by-Step Solution:

Solution:Step 1:In this problem, we need to find the terminal velocity and we have to sketch trajectories in the yv-phase plane for Step 2:Now we have the motion of an object moving vertically through the air is governed by the equation, where y is the upward vertical displacement and V is a constant called the terminal speed. Take the and V = 50 ft/sec.Now the equation is ………..(1)Let v = Therefore Since Then we get ………(2)Since From equation (2)is the terminal velocity.

Step 3 of 3

##### ISBN: 9780321747730

Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. This full solution covers the following key subjects: SEC, speed, terminal, trajectories, called. This expansive textbook survival guide covers 67 chapters, and 2118 solutions. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. The full step-by-step solution to problem: 34E from chapter: 5.4 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM. Since the solution to 34E from 5.4 chapter was answered, more than 231 students have viewed the full step-by-step answer. The answer to “Falling Object. The motion of an object moving vertically through the air is governed by the equation where y is the upward vertical displacement and V is a constant called the terminal speed. Take g = 32 ft /sec2 and V = 50 ft/sec. Sketch trajectories in the yv-phase plane for starting from y = 0 and v =-75,-50, -25, 0, 25, 50, and 75 ft/sec. Interpret the trajectories physically; why is V called the terminal speed?” is broken down into a number of easy to follow steps, and 77 words.

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