a person observes a firework display from a safe distance of 750 kilometer assuming that sound travels at 340 meters per second in air what is the time between the person seeing and hearing a fireworks explosion?
I have heard Diseneyland fireworks displays 75 km away, but never 750 km away. Are you sure you copied the distance correctly?
To find the time between the person seeing and hearing a fireworks explosion, we first need to calculate the time it takes for the light from the fireworks to reach the person.
Since light travels at approximately 299,792 kilometers per second in a vacuum, we can assume that it travels at a similar speed in air. Therefore, the time it takes for the light from the fireworks to reach the person can be calculated using the following formula:
Time = Distance / Speed
Distance = 750 kilometers
Speed = 299,792 kilometers per second (approximately)
Time = 750 kilometers / 299,792 kilometers per second
Calculating this equation, we find that the time it takes for the light from the fireworks to reach the person is approximately 0.002501 seconds.
Next, we need to calculate the time it takes for the sound from the fireworks to reach the person.
Given that sound travels at 340 meters per second, we can use the same formula to calculate the time:
Time = Distance / Speed
Distance = 750 kilometers (which we need to convert to meters)
Speed = 340 meters per second
To convert kilometers to meters, we multiply by 1000:
Distance = 750 kilometers * 1000 meters per kilometer
Calculating this equation, we find that the distance is 750,000 meters.
Now, we can calculate the time:
Time = 750,000 meters / 340 meters per second
Calculating this equation, we find that the time it takes for the sound from the fireworks to reach the person is approximately 2205.88235294 seconds.
Finally, to find the time between the person seeing and hearing the fireworks explosion, we subtract the time it takes for the light to reach the person from the time it takes for the sound to reach the person:
Total Time = Time for Sound - Time for Light
Total Time = 2205.88235294 seconds - 0.002501 seconds
Calculating this equation, we find that the time between the person seeing and hearing the fireworks explosion is approximately 2205.88085194 seconds.