For t < 0, an object of mass m experiences no force and moves in the positive x direction with a constant speed vi. Beginning at t = 0, when the object passes position x = 0, it experiences a net resistive force proportional to the square of its speed: Fnet = ?mkv^2 i, where k is a constant. The speed of the object after t = 0 is given by v = vi/(1 + kvit).

(a) Find the object's velocity as a function of position. (Use the following as necessary: k, m, t, vi, and x.)

v(x) =