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m3 + 76
Solve this to show that
-1
2
1
2
-Bt
e
=
mß + n
mß + n.
where vo is the initial velocity.

A mass m is accelerated by a time-varying force e-Btv³, where v is its velocity. It also
experiences a resistive force nv, where n is a constant, owing to its motion through
the air. The equation of motion of the mass is therefore
dv
m, = e
dt

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