Question

You are visiting the Grand Canyon and you give out a shout, then hear your echo 3.00 seconds later. If sound travels at 343 m/s through the air between you and the cliff, then how far away is the wall that your voice reflected off of?

Answer 1

At the Grand Canyon, with a sound speed of 343 m/s, your shout's echo heard 3.00 seconds later, indicates a round-trip distance of 2058 meters to the cliff. The wall reflecting your voice is approximately 2058 meters away, echoing the vastness of the Grand Canyon.

Step-by-step explanation:

When visiting the Grand Canyon, you shout and hear your echo 3.00 seconds later. Given that sound travels at 343 m/s through the air, the total time for the sound's round trip to the cliff and back is twice the echo time, amounting to 6.00 seconds. Utilizing the formula distance = speed × time, the distance to the wall, where your voice reflected off, is calculated by multiplying the speed of sound (343 m/s) by the total time (6.00 seconds). This yields an approximate distance of 2058 meters. Thus, the cliff, resonating with the echo of your shout, is situated around 2058 meters away from your location along the Grand Canyon.