Firework Height Calculation: 712m, 23.6°C, Timer

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Homework Help Overview

The discussion revolves around calculating the height at which a firework exploded, given a horizontal distance of 712 meters and an air temperature of 23.6°C. The problem involves understanding the relationship between the time it takes for sound to travel and the height of the firework.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants explore how to determine the height based on the provided distances and timing. Some question how the distance changes as the firework rises and the implications of the speed of sound being temperature-dependent.

Discussion Status

While one participant expressed uncertainty about how to start, others engaged in questioning the setup and relationships involved in the problem. A few participants indicated they found their own solutions, suggesting a shift in understanding, though no consensus was reached on a specific method.

Contextual Notes

There is mention of the problem being an extra credit question, and some participants noted the lack of prior instruction on the topic, which may influence their approaches and understanding.

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Homework Statement
You are standing at a horizontal distance of 712 m from the location from which fireworks are being shot straight up. The temperature of the air this night is 23.6°C. The timer below measured the time from the explosion to when the sound reached your ears. Use all this information to find the height at which the firework exploded.This was an extra credit question, but my teacher never really went over this topic, so I don't really know where to start. Any help would be appreciated, thanks!
 
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If the firework wasn't in the air when it went off, but was on the ground some horizontal distance away from you, how would you find the distance? How does that distance between you and the firework change as it rises? The speed of sound depends on temperature, which is why it's given.
 
leedia said:
Homework Statement
You are standing at a horizontal distance of 712 m from the location from which fireworks are being shot straight up. The temperature of the air this night is 23.6°C. The timer below measured the time from the explosion to when the sound reached your ears. Use all this information to find the height at which the firework exploded.This was an extra credit question, but my teacher never really went over this topic, so I don't really know where to start. Any help would be appreciated, thanks!
Draw a diagram. What distance do you know? What distance can you deduce from the timing information?
 
Nevermind, I figured it out myself. Thanks! :)
 
leedia said:
Nevermind, I figured it out myself. Thanks! :)
That's the best outcome.
 

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