Combined Linear and Quadratic Drag in One Dimension Consider object that is coasting horizontally (positive x direction) subject to a drag force farag = -f(v)v with f(v) = bu+cu2. Write down the differential equation from Newton's second law for this object and solve for v by separating variables. Sketch the behavior of v as a function of t. Explain the time dependence for t large. (Which force term is dominant when t is large?) an

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Chapter1: Units, Trigonometry. And Vectors
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Combined Linear and Quadratic Drag in One Dimension Consider
object that is coasting horizontally (positive x direction) subject to a drag force
farag = -f(v)v with f(v) = bu+cu2. Write down the differential equation from Newton's
second law for this object and solve for v by separating variables. Sketch the behavior
of v as a function of t. Explain the time dependence for t large. (Which force term is
dominant when t is large?)
an
Transcribed Image Text:Combined Linear and Quadratic Drag in One Dimension Consider object that is coasting horizontally (positive x direction) subject to a drag force farag = -f(v)v with f(v) = bu+cu2. Write down the differential equation from Newton's second law for this object and solve for v by separating variables. Sketch the behavior of v as a function of t. Explain the time dependence for t large. (Which force term is dominant when t is large?) an
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