In this lesson, you explored radioactivity. Specifically, you learned about the discovery of radioactivity, the process of radioactive decay, how to perform half-life calculations, and some of the uses of radioactive isotopes. In this assignment, you will apply your knowledge of radioactivity to complete a variety of tasks.

In a game of pool, ball a is moving with a velocity v0 of magnitude v0 = 15 ft/s when it strikes balls b and c, which are at rest and aligned as shown. knowing that after the collision the three balls move in the directions indicated and assuming frictionless surfaces and perfectly elastic impact (that is, conservation of energy), determine the magnitudes of the velocities va, vb, and vc.