How Fast is the Missile Relative to the Rocket?

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SUMMARY

The discussion centers on a physics problem involving relativistic speeds, specifically a rocket traveling at 0.8c and a missile launched at 0.6c relative to the rocket. The key calculations involve determining the time it takes for the missile to reach a distance of 2 light years from the planet Zog and finding the relative speed of the missile with respect to the rocket. The solution confirms the approach taken is correct, emphasizing the importance of understanding relativistic velocity addition.

PREREQUISITES
  • Understanding of special relativity concepts, particularly time dilation and length contraction.
  • Familiarity with relativistic velocity addition formulas.
  • Basic knowledge of light year as a unit of distance.
  • Ability to perform calculations involving speeds as fractions of the speed of light (c).
NEXT STEPS
  • Study the relativistic velocity addition formula in detail.
  • Learn about time dilation effects in high-speed travel scenarios.
  • Explore practical applications of special relativity in modern physics.
  • Investigate the implications of relativistic speeds on communication and navigation in space travel.
USEFUL FOR

Students of physics, educators teaching special relativity, and anyone interested in the implications of high-speed travel in space exploration.

henrco
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Hi,
Could i please get advice on this problem and confirm that my approach and solution are correct?
Thanks in advance.

1. Homework Statement
An enemy space rocket traveling at speed 0.8c towards the planet Zog fires a missile in the direction parallel to its own path. Relative to the rocket, the missile travels at v = 0.6c.

a)How long will the missile take to reach Zog if it is 2 light years distant (in the rest frame of the planet) at the
time of firing?

b) Find the relative speed of the missile to the rocket:

Homework Equations


upload_2016-3-17_14-35-1.png


The Attempt at a Solution



upload_2016-3-17_14-36-44.png
[/B]
 
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Looks good to me.
 
  • Like
Likes   Reactions: henrco
Excellent, thank you.
 

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