_{}EXAMPLE 1:

A particle is ejected into a moving fluid of velocity _{}. The drag force
applied by the fluid onto the particle is proportion to the velocity of the
particle relative to the fluid. Calculate the equation of the motion of the
projectile.
Solution:

_{}
_{}
Integrating both sides, we get
_{}
_{}
_{}
_{}
Integrating
both sides, we get
_{}
_{}
_{}
_{}
_{}
_{}
Integrating both sides, we get
_{}
_{}
_{}
Integrating both sides, we get
_{}
_{}
_{}