# Quadratic Drag in One Dimension Consider an object that is droppingquadratic drag forcevertically (positive y direction is vertically down) subject to afdrag = -f(v)v with f(v) cu2.(a) Write down the differential equation from Newton's second law for this object.(b) Show that the terminal speed is vter =(c) Solve for vy in the case of vyo UterVmg/c.Hint: You may find the integrals in Appendix E in Thornton & Marion useful (p613). |

Question
89 views help_outlineImage TranscriptioncloseQuadratic Drag in One Dimension Consider an object that is dropping quadratic drag force vertically (positive y direction is vertically down) subject to a fdrag = -f(v)v with f(v) cu2. (a) Write down the differential equation from Newton's second law for this object. (b) Show that the terminal speed is vter = (c) Solve for vy in the case of vyo Uter Vmg/c. Hint: You may find the integrals in Appendix E in Thornton & Marion useful (p613). | fullscreen
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Step 1

(a) Using Newton’s law,

Step 2

(b) The object has zero acceleration when it reaches terminal speed. Therefore,

Step 3

(c) Re-arrange the equation ...

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