Question
According to the drag equation the velocity of an object moving through a fluid can be modeled by the equation dv dt = 2
According to the drag equation the velocity of an object moving through a fluid can be modeled by the equation dv dt = 2 -kv where k is a constant. (a) Find the general solution to this equation. (b) An object moving through the water has an initial velocity of 40 m/s. Two seconds later, the velocity has decreased to 30 m/s. What will the velocity be after ten seconds?
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a To find the general solution to the equation dvdt kv2 we can separate the variables and integrate ...Get Instant Access to Expert-Tailored Solutions
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Differential Equations And Linear Algebra
Authors: C. Edwards, David Penney, David Calvis
4th Edition
013449718X, 978-0134497181
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