- #1
philnow
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Homework Statement
Hey all. I have F(v) and I'm looking for x(t).
F(v) = -bV2
I'm a physics undergrad student who hasn't done diff. equations in a while, so I'm very unsure of my work so far... but here it is.
The Attempt at a Solution
I write F=ma as F(v)=mdv/dt:
-bV2=mdv/dt
-m∫ dv/v2 = -b ∫dt
-m/v = -bt
m/v = bt
v = m/bt = dx/dt
∫ dx = m/b ∫ dt/t
Finally x(t) = m/b*ln(t)
Does this look good?