A Particle in freefall with drag effects

AI Thread Summary
The discussion centers on the analytical solution for the velocity of a particle in freefall experiencing Stokes drag. Participants confirm that the solution v(t) = k(1 - exp(-bt/m)) is correct and can be derived from the equation m(dv/dt) = mg - vpg - bv. Users seek references or online derivations to support this solution. The conversation emphasizes the validity of the analytical approach to modeling drag effects on falling particles. Overall, the topic highlights the intersection of physics and mathematical modeling in understanding drag forces.
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if you are talking about that v(t)=k(1-exp(-bt/m) then yes even you can derive it by using

m(dv/dt)=mg-vpg-bv, p= density of medium,integrating it this will give you that
 
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