How long will a radioactive isotope decay?

Until there's none of it left. Different radioactive isotopes decay at different rates. And a bigger pile of it will last longer than a smaller pile. Without knowing WHICH radioactive isotope you're asking about, and how much of it you started out with, the answer could turn out to be anywhere between 1 millionth of a second and 1 million years.

increasing transnational kinetic energy. because the transnational kinetic energy formula consists of only two variables, mass and velocity, increasing one of those properties is the only way to increase an object's transnational kinetic energy. increases to mass and velocity, however, do not have the same impact.