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A physicist at a fireworks display times the lag between seeing an explosion and hearing its...

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Physics

A physicist at a fireworks display times the lag between seeingan explosion and hearing its sound. She finds it to be 0.36 s.

a) How far away is the explosion, in meters, if the airtemperature is 18°C (with a velocity constant of v = 331 m/s) andif you neglect the time taken for light to reach the physicist?

b) Calculate the distance, in meters, to the explosion takingthe speed of light into account. (Note that this distance isnegligibly greater than what you found in part (a).)

I understand the equation to be used is v = vo (sqrt( T/273))but how was this equation derived?

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