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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

F = -be^(-a*v) = m dv/dt, a and b are constants.

m [inte]

m/a e^(a(v - v

ln[e^(a(v - v

a(v - v

v(t) = 1/a ln[-abt/m] + v

dx/dt = v(t) = 1/a ln[-abt/m] + v

[inte]

x(t) = t/a[ln(-a*b*t/m) + a*v

**why**.F = -be^(-a*v) = m dv/dt, a and b are constants.

m [inte]

_{vo}^{v}e^(a*v) dv = -b [inte]_{to=0}^{t}dtm/a e^(a(v - v

_{o})) = -b*tln[e^(a(v - v

_{o}))] = ln[-abt/m]a(v - v

_{o}) = ln[-abt/m]v(t) = 1/a ln[-abt/m] + v

_{o}dx/dt = v(t) = 1/a ln[-abt/m] + v

_{o}[inte]

_{xo=o}^{x}dx = [inte]_{to=o}^{t}1/a ln[-abt/m] + v_{o}dtx(t) = t/a[ln(-a*b*t/m) + a*v

_{o}-1]
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