A Particle in freefall with drag effects

[RH10]

Hi All,

Assuming Stokes drag, wikipedia suggests this problem (the solution for v(t) ) has an analytical solution. Is this right?

http://en.wikipedia.org/wiki/Drag_(physics)#Very_low_Reynolds_numbers.E2.80.94Stokes.27_drag

Could someone point me to the derivation online? Or a reference for it? Do we all agree that it's right?

Thanks,

 

[andrien]

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