Question

A hiker shouts toward a vertical cliff 465 m away. The echo is heard 2.75 s later. What is the speed of sound of the hiker's voice in air?

A. 318.2 m/s
B. 328.2 m/s
C. 338.2 m/s
D. 348.2 m/s

Answer 1

The speed of sound of the hiker's voice in air is 338.2 m/s, which is option C. It is calculated by dividing the total distance the sound travels (930 m) by the time it takes to be heard (2.75 s).

Step-by-step explanation:

When a hiker shouts toward a vertical cliff 465 m away and the echo is heard 2.75 s later, we can calculate the speed of sound. The sound has to travel to the cliff and back, so it covers a distance of 465 m * 2 = 930 m in 2.75 s. To find the speed of sound in air, we use the formula speed = distance / time. Therefore, the speed of sound is 930 m / 2.75 s = 338.2 m/s, which corresponds to option C.