The Beams And Joints That Hold It .
If the substance doesn't change chemically, it is a physical reaction.
Since the ball was not moving before it let Aiden's hand, the formula used to calculate the acceleration is

, where a is acceleration, v is velocity and t is the time. We put them in the formula and get

The acceleration is 490 m/s^2
Answer:
A sample of 5.2 mg decays to .65 mg or to 1/8 of its original amount.
1/8 = 1/2 * 1/2 * 1/2 or 3 half-lives.
3 * 30.07 = 90 yrs for 5.2 mg to decay to .65 mg
You can get these other numbers similarly:
5.2 / .0102 = 510 requires about 9 half-lives which is 30 * 9 = 270 yrs