High School Question about the Lorentz factor

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The discussion centers on calculating the average speed of a twin brother who travels to the moon and back while a song plays. The round trip distance is approximately 768,800 km, completed in 278 seconds, resulting in an average speed of about 2765 km/sec. This speed is not sufficient to experience significant relativistic time dilation. The conversation also highlights that the average speed can vary based on the travel method, such as maintaining a constant speed versus accelerating to near light speed. The key takeaway is the relationship between speed, distance, and time in the context of relativistic physics.
EqualsMC2
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TL;DR
A rookie physics fan
Brief intro: I'm awful at maths and really interested in physics.

My friend asked me to solve a question but I can't seem to wrap my head around it...

The question: If I'm listening to a song that lasts 5 minutes and 30 seconds and my twin brother travels to the moon and back while the song played aged 4 minutes and 38 seconds in that time what was my brothers average speed?
 
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It's about a 768800 km round trip, accomplished in 278 seconds, so simple division says he moves at an average of about 2765 km/sec, nowhere near enough speed to experience any relativistic time dilation, at least not in a problem done in 3-4 digits of precision. The most pressing question is how far away the moon was the day he did this.

Apparently the round trip took place in less time than it took for the song to play.
 
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Halc said:
It's about a 768800 km round trip, accomplished in 278 seconds, so simple division says he moves at an average of about 2765 km/sec, nowhere near enough speed to experience any relativistic time dilation, at least not in a problem done in 3-4 digits of precision. The most pressing question is how far away the moon was the day he did this.

Apparently the round trip took place in less time than it took for the song to play.
Wow thank you!
 
Your brother could travel to the Moon and back many times. His average speed would depend on the way he does so. A constant speed will lead to a different average than "zero for 4:37 and then nearly the speed of light for the rest of the time".
 

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