On a 28 degrees Celsius summer day, you decide to go cliff diving with some friends. Your friend jumps first and you notice that it takes 2 seconds for you to hear them splash into the water below. How high is the cliff?
To solve this problem, we need to use the formula for speed of sound in air.
The speed of sound in air is approximately 343 meters per second.
The time it takes for sound to travel is equal to the distance divided by the speed of sound:
Time = Distance / Speed
In this case, the time is 2 seconds and the speed is 343 meters per second.
2 = Distance / 343
To find the distance, we can rearrange the equation:
Distance = Time * Speed
Distance = 2 * 343
Distance = 686 meters
Therefore, the height of the cliff is 686 meters.