Aflutist assembles her flute in a room where the speed of sound is 342 m/s. when she plays the note a, it is in perfect tune with a 440 hz tuning fork. after a few minutes, the air inside her flute has warmed to where the speed of sound is 346 m/s.

-got a: how many beats per second will she hear if she now plays the note a as the tuning fork is sounded? 5.15 beats/s

-now gotta find b:
how far does she need to extend the "tuning joint" of her flute to be in tune with the tuning fork? (answer is d=)

Arunner is jogging at a steady 3.6 km/hr. when the runner is 2.9 km from the finish line, a bird begins flying from the runner to the finish line at 14.4 km/hr (4 times as fast as the runner). when the bird reaches the finish line, it turns around and flies back to the runner. even though the bird is a dodo, we will assume that it occupies only one point in space, i.e., a zero-length bird. how far does the bird travel? (b) after this first encounter, the bird then turns around and flies from the runner back to the finish line, turns around again and flies back to the runner. the bird repeats the back and forth trips until the runner reaches the finish line. how far does the bird travel from the beginning? (i.e. include the distance traveled to the first encounter)