A flutist assembles her flute in a room where the speed of sound is 342m/s . When she plays the note A, it is in perfect tune with a 440Hz tuning fork. After a few minutes, the air inside her flute has warmed to where the speed of sound is 345m/s .
1. How many beats per second will she hear if she now plays the note A as the tuning fork is sounded?
2. How far does she need to extend the "tuning joint" of her flute to be in tune with the tuning fork?