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In: Physics

A kid is standing in front of a staircase blowing a duck whistle which has a...

A kid is standing in front of a staircase blowing a duck whistle which has a frequency of exactly 272Hz. It turns out that the sound of this duck whistle doesn’t echo off these stairs. The speed of sound is exactly 340m/s

a. What is the maximum width of these steps such that there is no echo?

b. With what constant speed must the kid run toward the stairs so that his duck whistle’s echo largest?

Hint: this speed is not a realistic speed with which to run, but we can pretend.

c. What beat frequency does the kid hear?

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