A group of hikers hears an echo 2.10 s after shouting. How far away is the mountain that reflected the sound wave? (Assume the speed of sound is 346.4 m/s.

Question

A group of hikers hears an echo 2.10 s after shouting. How far away is the mountain that reflected the sound wave? (Assume the speed of sound is 346.4 m/s.

Answer 1

Given;

v = 346.4 m/s

t = 2.10 s

Find d:

For an echo, the distance travelled two times - one time from the sender to the reflecting surface and the other from the reflecting surface back to the sender .

therefore v = d/t becomes v= 2d/t

====== d = (v.t) /2

= ( 346.4) (2.10) ÷ 2

= 363.72 m