In: Physics
A physicist at a fireworks display times the lag between seeing an explosion and hearing its sound. She finds it to be 0.36 s.
a) How far away is the explosion, in meters, if the air temperature is 18°C (with a velocity constant of v = 331 m/s) and if you neglect the time taken for light to reach the physicist?
b) Calculate the distance, in meters, to the explosion taking the speed of light into account. (Note that this distance is negligibly 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?
The answers are in the images. Page number is mentioned at right top. As you have asked, I have derived the equation v = v0(sqrt(T/273)) at 1st.