Question

if you shout into the grand canyon, your voice travels at the speed of sound ( 340 m/s) to the bottom of the canyon and back, and you hear an echo. how deep is the grand canyon at a spot where you can hear your echo 5.2 seconds after you shout????

Answer 1

Answer:

The depth of grand canyon at a spot where you can hear your echo 5.2 seconds after you shout is 884 m.

Explanation:

The speed of the sound is 340 m/s.

The echo is heard after 5.2 sec after the original sound.

We know the equation,

Speed = Distance / Time

⇒ Distance = Speed × Time

                   = 340 × 5.2

                   = 1768 m

But this distance is the total distance covered by the sound in 5.2 sec. That is, from the person to the bottom of the canyon and then from the bottom to the canyon. So the depth of the canyon at that point will be half the distance traveled by the sound.

ie; Depth of canyon = 1768 / 2 = 884 m