Gravity Sound

A construction worker's helmet slips and falls when he is \(78.4\) meters above the ground.

He hears the sound of the helmet hitting the ground \(4.23\) seconds after it slipped. Find the speed of sound in air.

Details and assumptions:
1) Take the acceleration due to gravity as \( g = 9.8\frac{m}{s^2}.\)
2) Provide your answer at least up to 4 decimal places.


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