12. Calvin tosses a water balloon to Hobbes. As Hobbes is about to catch it the
balloon has a speed of 1 m/s. Hobbes catches the balloon, and the balloon
experiences an acceleration of -0.5 m/s² as it comes to rest. How far did Hobbes
hands move back while catching the balloon?

Amichelson interferometer operating at a 600 nm wavelength has a 3.02-cm-long glass cell in one arm. to begin, the air is pumped out of the cell and mirror m2 is adjusted to produce a bright spot at the center of the interference pattern. then a valve is opened and air is slowly admitted into the cell. the index of refraction of air at 1.00 atm pressure is 1.00028.how many bright-dark-bright fringe shifts are observed as the cell fills with air?