- #1
frankR
- 91
- 0
Okay what am I doing wrong? This is the way I've been doing math for the last two years. This is annoying me. Unless I've been doing everything wrong the last two years, I feel this is correct. I realize it's most likely wrong. Someone please explain to me what I am doing wrong and more important why.
F = -be^(-a*v) = m dv/dt, a and b are constants.
m [inte]vov e^(a*v) dv = -b [inte]to=0t dt
m/a e^(a(v - vo)) = -b*t
ln[e^(a(v - vo))] = ln[-abt/m]
a(v - vo) = ln[-abt/m]
v(t) = 1/a ln[-abt/m] + vo
dx/dt = v(t) = 1/a ln[-abt/m] + vo
[inte]xo=ox dx = [inte]to=ot1/a ln[-abt/m] + vodt
x(t) = t/a[ln(-a*b*t/m) + a*vo -1]
F = -be^(-a*v) = m dv/dt, a and b are constants.
m [inte]vov e^(a*v) dv = -b [inte]to=0t dt
m/a e^(a(v - vo)) = -b*t
ln[e^(a(v - vo))] = ln[-abt/m]
a(v - vo) = ln[-abt/m]
v(t) = 1/a ln[-abt/m] + vo
dx/dt = v(t) = 1/a ln[-abt/m] + vo
[inte]xo=ox dx = [inte]to=ot1/a ln[-abt/m] + vodt
x(t) = t/a[ln(-a*b*t/m) + a*vo -1]
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