Question

problem 5: while visiting the grand canyon, you start speaking loudly near the cliff side. the face of the cliff is 0.28 km away. how long does it take for you to hear your own echo?

Explanation:

Step1: Convert distance

The distance the sound travels is \(d = 2\times0.28\space km=0.56\space km = 560\space m\) (because the sound goes to the cliff and back). The speed of sound in air \(v = 343\space m/s\).

Step2: Use the formula \(t=\frac{d}{v}\)

We know that the formula for time \(t=\frac{d}{v}\), substituting \(d = 560\space m\) and \(v=343\space m/s\) into the formula, we get \(t=\frac{560}{343}\space s\approx1.63\space s\)

Answer:

It takes approximately \(1.63\space s\) to hear the echo.