Problem: A student standing in a canyon yells "echo", and her voice produces a sound wave of the frequency of f= 0.55 kHz. The echo takes t = 4.5 s to return to the student. Assume the speed of sound through the atmosphere at this location is v=324 m/s.Randomized variables: f = 0.55 kHzt = 4.5 sv = 324 m/sWrite an expression for the distance, d, the canyon wall is from the student.

FREE Expert Solution

Velocity, v, distance, d, and time, t, relationship:

d=vt

Distance to and from wall = 2d (there and back)

Velocity = v

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Problem Details

A student standing in a canyon yells "echo", and her voice produces a sound wave of the frequency of f= 0.55 kHz. The echo takes t = 4.5 s to return to the student. Assume the speed of sound through the atmosphere at this location is v=324 m/s.


Randomized variables: 

f = 0.55 kHz

t = 4.5 s

v = 324 m/s

Write an expression for the distance, d, the canyon wall is from the student.