Question: An object moves through a fluid in the x direction. The only force acting on the object is a frictional force that is proportional to

An object moves through a fluid in the x direction. The only force acting on the object is a frictional force that is proportional to the negative of the velocity:

dx F, -ζ υχ -ζ dt

Write the equation of motion of the object. Find the general solution to this equation and obtain the particular solution that applies if x(0) = 0 and v_x (0) = v₀ = constant. Construct a graph of the position as a function of time.

dx F, - - dt

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