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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.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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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