Abead of mass m under the influence of gravity slides along a frictionless and massless wire whose height is given by a function y(x). assume that at position (x, y) = (0, 0) the tangent of the wire is horizontal and the bead passes this point with a given speed v0. what should y(x) be so that the horizontal speed remains v0 at all times (that is what is the shape of the wire)? one simple solution is y = 0, find the other solution. (hint: it should be a familiar shape that might make sense in hindsight). note that energy is conserved.