On a recent hike with a friend through hilly country, you decide to test the acoustics of the cliffs around you. Looking at your map, directly north of your position, you see a 250 m high cliff called Buzzard's Rest that is ≈ 177 m away. Looking due east, you see a 420 m escarpment called Owl's Perch that is = 364 m away. Due west is an 83 m high bluff called Traveller's Stand that is ≈ 470 m away; and, due south is a 720 m ridge called Hawk's Eye that is ≈ 893 m away. The temperature at this time of the day is ≈ 25°C. From your interests in drone flying and acoustics, you recall the formulas for the speed of sound in air and wave motion, and using this knowledge you begin to determine the following: a) Write down the formula and determine the speed of sound in the air at this temperature. b) Disregarding the echo from the other directions, if you face Buzzard's Rest and shout, how long will it take for you to hear the echo? c) Similarly, if you face Owl's Perch, Traveller's Stand, and Hawk's Eye, respectively, how long

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On a recent hike with a friend through hilly
country, you decide to test the acoustics of the
cliffs around you. Looking at your map, directly
north of your position, you see a 250 m high
cliff called Buzzard's Rest that is ≈ 177 m away.
Looking due east, you see a 420 m escarpment
called Owl's Perch that is = 364 m away. Due
west is an 83 m high bluff called Traveller's
Stand that is≈ 470 m away; and, due south is a
720 m ridge called Hawk's Eye that is ≈ 893 m
away. The temperature at this time of the day is
≈ 25°C. From your interests in drone flying and
acoustics, you recall the formulas for the speed
of sound in air and wave motion, and using this
knowledge you begin to determine the
following:
a) Write down the formula and determine the
speed of sound in the air at this temperature.
b) Disregarding the echo from the other
directions, if you face Buzzard's Rest and shout,
how long will it take for you to hear the echo?
c) Similarly, if you face Owl's Perch, Traveller's
Stand, and Hawk's Eye, respectively, how long
Transcribed Image Text:On a recent hike with a friend through hilly country, you decide to test the acoustics of the cliffs around you. Looking at your map, directly north of your position, you see a 250 m high cliff called Buzzard's Rest that is ≈ 177 m away. Looking due east, you see a 420 m escarpment called Owl's Perch that is = 364 m away. Due west is an 83 m high bluff called Traveller's Stand that is≈ 470 m away; and, due south is a 720 m ridge called Hawk's Eye that is ≈ 893 m away. The temperature at this time of the day is ≈ 25°C. From your interests in drone flying and acoustics, you recall the formulas for the speed of sound in air and wave motion, and using this knowledge you begin to determine the following: a) Write down the formula and determine the speed of sound in the air at this temperature. b) Disregarding the echo from the other directions, if you face Buzzard's Rest and shout, how long will it take for you to hear the echo? c) Similarly, if you face Owl's Perch, Traveller's Stand, and Hawk's Eye, respectively, how long
d) Which location will take the least amount of
time for you to hear an echo? Explain in detail
why this is the case.
Transcribed Image Text:d) Which location will take the least amount of time for you to hear an echo? Explain in detail why this is the case.
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