In the dark and stormy night, after seeing the flash of lightning and hearing the sound of the thunder 3.5 seconds later, we found that the lightning bolt struck 1190 meters (1.19 kilometers) away.
At the moment that we saw the flash of lightning, the speed of the lightning is given by:
[tex] c = 3.0 \cdot 10^{8} m/s [/tex]
Where c is the speed of light
Since the speed of the sound (in the air) is less than the speed of light, we heard the sound of the thunder a time later after seeing it.
With the speed of sound, we can find how far was the lightning bolt strike.
[tex] s = \frac{d}{t} [/tex]
Where:
s: is the speed of sound = 340 m/s
d: is the distance =?
t: is the time = 3.5 s
Hence, the distance is:
[tex] d = s*t = 340 m/s*3.5 s = 1190 m = 1.19 km [/tex]
Therefore, the lightning bolt struck 1190 meters or 1.19 kilometers away.
Find more about the speed of light here:
https://brainly.com/question/15381147?referrer=searchResults
https://brainly.com/question/2279936?referrer=searchResults
I hope it helps you!
