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:

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.

Transcribed Image Text:

dx F, -ζ υχ -ζ dt