Question

A hiker hikes to a canyon and yells "hello" into the canyon wall. She carefully times how long it takes for the sound to return to her ear. She hears her echo in .6s. With a known velocity of sound on this day of 340m/s, how far did the sound wave actually travel?

Answer 1

Answer:

The distance covered by the sound wave is 102 m.

Explanation:

The velocity of sound on a particular day, v = 340 m/s

The echo heard by a hiker is, t = 0.6 s

The distance covered by the sound after hearing an echo is 2d say. The speed of sound is then given by :

$v=\dfrac{2d}{t}\\\\d=\dfrac{vt}{2}\\\\d=\dfrac{340\times 0.6}{2}\\\\d=102\ m$

So, the distance covered by the sound wave is 102 m.