A group of hikers hears an echo 3.50 s after shouting. How far away is the mountain that reflected the sound wave? (Assume the speed of sound is 343 m/s.) m
Question
A group of hikers hears an echo 3.50 s after shouting. How far away is the mountain that reflected the sound wave? (Assume the speed of sound is 343 m/s.) m
Solution
Step 1: Understand the problem The problem is asking for the distance between the hikers and the mountain. We know that the echo (which is the sound wave bouncing back from the mountain to the hikers) took 3.50 seconds to reach the hikers after the shout. We also know that the speed of sound is 343 m/s.
Step 2: Use the formula for distance The formula for distance is speed x time. However, because the sound wave had to travel to the mountain and back, the time we need to use is half of the total time, which is 3.50 seconds / 2 = 1.75 seconds.
Step 3: Calculate the distance Now we can calculate the distance by multiplying the speed of sound by the time it took for the sound wave to reach the mountain: 343 m/s x 1.75 s = 600.25 m.
So, the mountain is approximately 600.25 meters away from the hikers.
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