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A large boulder falls from a cliff located 1,044 meters away from a herd of elephants. The temperature of the air is 29°C. How long after the boulder crashes will the elephants hear the sound?

A. 319 m/s

B. 331 m/s

C. 343 m/s

D. 219 m/s

2 Answers

4 votes

Final answer:

The elephants would hear the sound of the boulder crashing approximately 3.04 seconds after it hits the ground, using the closest given speed of sound at 29°C, which is 343 m/s.

Step-by-step explanation:

The student is asking about the time it would take for sound to travel from a falling boulder to a herd of elephants that is 1,044 meters away. To determine this, we need to know the speed of sound at the given temperature. At 29°C, the approximate speed of sound in air is 344.8 m/s (rounded up from 344.26 m/s, using the formula v = 331.4 + (0.6 × temperature)), but none of the options exactly match this value. The closest given option is 343 m/s. Using this speed, the time it would take for the sound to travel can be calculated using the formula:

Time = distance / speed of sound

Time = 1,044 m / 343 m/s

Time ≈ 3.04 seconds

Therefore, it would take approximately 3.04 seconds for the elephants to hear the sound of the boulder crashing.

User Jebastin J
by
7.8k points
1 vote
the answer you would be letter D 343 m/s

User Abrab
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8.2k points