Solving Sound Waves Problem: Distance of Explosion from Ground Vibration

AI Thread Summary
To determine the distance of the explosion, the problem involves calculating the time difference between sound traveling through the ground and through the air. The speed of sound in air is 342 m/s, while in the ground it is 6.75 km/s. Given that the ground vibration is felt 74 seconds before the sound is heard, this time difference can be used to set up an equation relating the distances traveled by sound in both mediums. By solving this equation, the distance to the explosion can be accurately calculated. The approach emphasizes understanding the relationship between time, speed, and distance in different mediums.
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Homework Statement


The speed of sound along the ground is about 6.75 km/s while the speed of sound in air is 342 m/s. A very powerful explosion occurs some distance away and you feel the ground vibrate 74.0 seconds before you hear the sound of the explosion. How far away is the explosion?


Homework Equations


d = vt


The Attempt at a Solution


Not really sure how to approach this properly. There is a hint that says: "The difference in the travel times is the time given. "
 
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You should set up a single variable equality using air time and ground time.
 
ah, i got it, thanks
 

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