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An object weighing 1000 pounds sinks in water starting from rest. Two forces act on it, a buoyant force of 200 lb and the resisting force of water equal to 100v pounds, where v is in feet per second. If the acceleration due to gravity is considered to be 32 ft/s2. Determine the position of the object at any time t, with t in seconds. 16 128 a"(t) +(t) = r(0) = 0 r'(0) = 0 (a) Determine, using only higher-order linear differential equation solving techniques, the solution to initial value problem.

An object weighing 1000 pounds sinks in water starting from rest. Two forces act on it, a buoyant force of 200 lb and the resisting force of water equal to 100v pounds, where v is in feet per second. If the acceleration due to gravity is considered to be 32 ft/s2. Determine the position of the object at any time t, with t in seconds. 16 128 a"(t) +(t) = r(0) = 0 r'(0) = 0 (a) Determine, using only higher-order linear differential equation solving techniques, the solution to initial value problem.

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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An object weighing 1000 pounds sinks in water starting from rest. Two forces act on it, a buoyant force of 200 lb and the resisting force of water equal to 100v pounds, where v is in feet per second. If the acceleration due to gravity is considered to be 32 ft/s2. Determine the position of the object at any time t, with t in seconds. 16 128 I" (t) +(1) = 5 x(0) = 0 r'(0) = 0 (a) Determine, using only higher-order linear differential equation solving techniques, the solution to initial value problem.
Transcribed Image Text:An object weighing 1000 pounds sinks in water starting from rest. Two forces act on it, a buoyant force of 200 lb and the resisting force of water equal to 100v pounds, where v is in feet per second. If the acceleration due to gravity is considered to be 32 ft/s2. Determine the position of the object at any time t, with t in seconds. 16 128 I" (t) +(1) = 5 x(0) = 0 r'(0) = 0 (a) Determine, using only higher-order linear differential equation solving techniques, the solution to initial value problem.
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