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A construction worker’s helmet slips and falls when he is 78.4 m above the ground. He hears the sound of the helmet hitting the ground 4.23 s after it slipped. Find the speed of sound in air. 340.86 m/s 380.68 m/s320.26 m/s368. 40 m/s

Question

A construction worker’s helmet slips and falls when he is 78.4 m above the ground. He hears the sound of the helmet hitting the ground 4.23 s after it slipped. Find the speed of sound in air. 340.86 m/s 380.68 m/s320.26 m/s368. 40 m/s

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Solution

To find the speed of sound in air, we can use the formula:

speed = distance / time

In this case, the distance is the height from which the helmet fell, which is 78.4 m. The time is the time it took for the sound to reach the worker's ears, which is 4.23 s.

So, the speed of sound in air can be calculated as:

speed = 78.4 m / 4.23 s

Calculating this, we get:

speed ≈ 18.52 m/s

Therefore, the correct answer is not provided in the options given.

This problem has been solved

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