Which of the following option correctly describes the variation of the speed υ and acceleration &#39…

Which of the following option correctly describes the variation of the speed υ and acceleration 'a' of a point mass falling vertically in a viscous medium that applies a force F=-kυ , where 'k' is a constant, on the body? (Graphs are schematic and not drown to scale)

Solution

a = (g - α v)

dv dt = g - α v

0vdvg-αv=0tdtng-αvg=-αt

v=v01-e-αta=dvdt=v0αe-αt=a0e-αt

Asked in: JEE Main 2016 (09 Apr Online)

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