I know some people might think this topic is stupid but I am asking about it anyway. Can any object real or theoretical move with a function x(t) where: 1_ x'(t) is undefined at all points 2_ x'(t) is an indeterminate form at one point 3_ x'(t) is defined at some points but undefined in others 4_ x'(t) have range of complex numbers 5_x'(t) approaches infinity So can theoretical objects move with theoretical motion with such crazy velocities exists? if the velocity is infinity will an object exist in two places at the same time? can any real astronomic object move with such velocities because of effects of wormholes or black holes? Is it physically impossible within any universe for such motions to exist. If it isn't physically impossible is there a mathematical way to describe such motions? I know I am asking about stupid stuff but it is just for curiosity. Thanks for replying.