Question

Layla was hiking in the Grand Canyon with her best friend Saige. The temperature when they started gut was only 4.0° C. She shouted at the canyon wall and 2.8 s later she heard her own voice echoing back. How far away was the canyon wall? a) 4.6 x 10² m b) 46.6 m c) 47 m d) 466.7 m

Answer 1

Given:

The temperature of the surrounding is 4 degrees Celsius.

The time taken for the echo to reach the ears is t = 2.8 s

Required:

The distance from the canyon wall.

Step-by-step explanation:

The distance traveled by the sound is 2d as it travels up to the wall and bounces back.

The distance can be calculated by the formula

`d=(v* t)/(2)`

Here, the speed of sound at 4 degrees Celsius is

`v=331.3\text{ m/s}`

On substituting the values, the distance traveled will be

`\begin{gathered} d=(331.3*2.8)/(2) \\ =4.6*10^2\text{ m} \end{gathered}`

Final Answer: The distance traveled is 4.6 x 10^2 m