Question

A student standing in a canyon yells "echo," and her voice produces a sound wave of frequency of f = 0.54 kHz. The echo takes t = 2.1 s to return to the student. Assume the speed of sound through the atmosphere at this location is v = 320 m/s.

Input an expression for the distance, d, the canyon wall is from the student.
a) d = 224.64 m
b) d = 320.0 m
c) d = 708.0 m
d) d = 1126.8 m

Answer 1

The correct answer is not among the provided options; the calculated distance is d = 336 m.

Step-by-step explanation:

The time it takes for the sound wave to travel to the canyon wall and back is twice the time it takes for the sound wave to travel one way. Therefore, the time taken for the sound wave to reach the canyon wall ist_one way = t / 2.

The distance traveled by the sound wave (one way) is given by the formula:

Distance = Speed x Time

d = v x t_one way

Substitute the given values:

d = 320 m/s x 2.1 s / 2

d = 320 m/s x 1.05 s

d = 336 m

So, none of the provided options match the calculated distance of 336 m. There might be a mistake in the given answer choices, or the correct answer might not be listed. Please double-check the problem or refer to additional information if available.