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.