Find the particle's horizontal position x(t) and velocity v(x) at any point in a fluid whose drag force is expressed as  Fdrag = kmv where, k is a constant, m is the mass of the particle and v is its velocity. Consider that the particle is initially traveling with a velocity v0. To solve for the position as a function of time x(t), construct the net force in the x-axis. Further, employ the rules of integration results to the following expression for position as a function of time.   To solve for the velocity as a function of position v(x), we construct the net force in the x-axis, then, eliminate time by expressing, the velocity on the left side of the equation.   By integrating and applying the limits, we then shall arrive with a velocity that decreases in a linear maner.

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