Moving Rod + Decelerated motion + Changing Flux!

Figure shows that a wire bent into the shape of a right angle that is fixed on a horizontal plane. A very long rod of mass $$m=1 \text{ kg}$$ initially starts with a velocity $$v_0=4 \text{ m/s}$$ from the apex $$A$$ of the bent wire. The resistance per unit length of the wire and the rod is $$\lambda = 1 \ \Omega \text m^{-1}$$. The whole arrangement is put in a region of uniform magnetic induction $$B=1 \text{ T}$$. Find the distance traveled by the rod before it becomes stationary.

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