A piece of wire is bent in the shape of a parabola $$y = kx^2$$ (y-axis vertical) with a bead of mass m onit. The bead canslide on the wire withoutfriction. It stays at the lowest point of the parabola when the wire is at rest. The wire is now accelerated parallel to the x-axis with a constant acceleration a. The distance of the new equilibrium position of the bead, where the bead can stay at rest with respect to the wire, from the y-axis is