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Relativistic Bullet - perpendicular (Posted on 2005-01-17) Difficulty: 3 of 5
Suppose you're traveling on a space ship at 9/10 the speed of light (.9c). You have a high-powered rifle that shoots bullets at the same speed. Suppose you shoot the bullet perpendicular to your direction of travel.

It appears that the bullet would travel at a 45-degree angle (northeast, if the ship is traveling north and the bullet is shot eastward), at about 1.2728c which is faster than light. Why is this wrong, and what would the actual speed and direction be?

See The Solution Submitted by Ken Haley    
Rating: 4.5000 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: No Subject | Comment 11 of 15 |
(In reply to No Subject by nilshady)

Neither of your assertions is true, nilshady.

(1) Accelerating at the rate of 1g (32 ft/sec/sec) you'd reach 9/10 c in a little less than a year (not counting the time slow-down due to relativity).  This time slow-down is 43.59% at 9/10c (as Jay showed).  Allowing for this, you'd still be able to reach 9/10 c in less than 2 years.  So, the person might get awfully bored, but shouldn't die.

(2) There's no reason the ship would burn up, unless it ran into something.  In outer space there's no air to cause friction to cause heat.
  Posted by Ken Haley on 2005-05-02 05:42:41

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