A free-falling object undergoes two opposing forces, one due to gravity, and the other due to air resistance. The net force should equal the object's acceleration multiplied by its mass (m Q). Assuming that air resistance force is directly proportional to object's velocity (proportionality = 20): (a) Formulate the first-order differential equation of equilibrium. (b) Find the general solution of object's velocity v(t). (c) Find the particular solution of v(t) assuming v(0) = 1 %3D
A free-falling object undergoes two opposing forces, one due to gravity, and the other due to air resistance. The net force should equal the object's acceleration multiplied by its mass (m Q). Assuming that air resistance force is directly proportional to object's velocity (proportionality = 20): (a) Formulate the first-order differential equation of equilibrium. (b) Find the general solution of object's velocity v(t). (c) Find the particular solution of v(t) assuming v(0) = 1 %3D
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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