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Question1
A pipe open only at one end has an essential frequency of 269 Hz. A second pipe, initially identical to the first pipe, is shortened by cutting off a portion of the open end. Now, as both pipes vibrate at their fundamental frequencies, a beat frequency of 13.2 Hz is heard. How many centimeters were cut off the end of the second pipe? The speed of sound is 343 m/s.
Question2
A particle travels horizontally between two parallel walls detached by 18.4 m. It moves toward the opposing wall at a constant rate of 8.3 m/s. In addition, it has acceleration in the direction parallel to the walls of 4.8 m/s. At what angle with the wall will the particle strike?
Question3
A drunken sailor stumbles 415 meters north, 365 meters northeast, and then 315 meters northwest. What are the total displacement and angle of the displacement? (Imagine east is the +x-direction and north is the +y-direction.)
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Phonology: All the data for this problem come from a conservative dialect of Vèneto, a Romance language spoken in northern Italy near the city of Padua.
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