In the XY plane, the region above X axis has uniform magnetic field B₁ k, and the region below the X axis has B₂ k . A positively charged particle is projected from the origin, along the positive Y axis, with speed pi m/s, at t=0. Neglect gravity in this problem. Let T = time when the particle crosses the X axis from below for the first time. If B₂= 4 B₁, Find the average velocity of the particle , along the X axis , during the time T of its motion.