Aflute player hears four beats per second when she compares her note to a 523 hzhz tuning fork (the note c). she can match the frequency of the tuning fork by pulling out the "tuning joint" to lengthen her flute slightly.

527 Hz

Solution:

As per the question:

Beat frequency of the player,

Frequency of the tuning fork, f = 523 Hz

Now,

The initial frequency can be calculated as:

when

when

But we know that as the length of the flute increases the frequency decreases

Hence, the initial frequency must be 527 Hz

527 Hz

Explanation:

given,

flute beat = 4 beats/s

frequency of the tuning fork = 523 Hz

to find her initial frequency.

we know

  f₁ - f₂ = ±4

  f₁ = 523 ± 4 Hz

now,

f₁ = 527 Hz    (or)  519 Hz

when flute length increase the frequency decreases.

hence, initial frequency is equal to 527 Hz  

well, you would divide 135 by 33 to get your answer. then that is how many seconds it would take. boardman should fly about 132 m or 4.090909090909091 seconds.

e/c, where e is its total energy