Ok, so here's my best attempt at this:
m(dv/dt)=mg-KV
dv/dt=g-KV/m
1/(g-KV/m)dv=dt (1)
Now from here we can use u-substitution:
u=g-KV/m
du/dv=-K/m or dv=(-m/K)du
Subbing this into equation 1:
(-m/K)(1/u)du=dt or (1/u)du=(-K/m)dt
Now integrate both sides:
ln(u) = (-K/m)(t+C)...
First, let me preface this question that I have been out of academia for about 5 years now, and am just starting to get back into it, although it seems my Calc/Kinematics is a little rusty.b]1. Homework Statement [/b]
An object of weight W is falling through a medium such that the object's drag...