Help Calculating a interstellar Speed requirements

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    Interstellar Speed
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Homework Help Overview

The discussion revolves around calculating the speed required for an object to travel a specified distance of 28,163,529 kilometers in a very short time frame of 0.0001 microseconds, with a focus on expressing this speed in terms of multiples of light speed.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the conversion of time units and the implications of traveling faster than light. There are discussions on the calculations involved in determining the speed and the different interpretations of the results provided by various participants.

Discussion Status

The conversation is ongoing, with participants sharing different numerical results and methods for calculating the required speed. Some guidance has been offered regarding unit conversions and the basic approach to the problem, but there is no consensus on the final answer yet.

Contextual Notes

Participants are navigating the constraints of relativistic physics, particularly the impossibility of exceeding the speed of light, while also grappling with the accuracy of their calculations and the interpretation of time units.

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Hello everyone, what a fantastic community this is. I was hoping someone here could help me calculate the speed required to reach a certain distance in a certain amount of time.

How fast will Object X be moving if it clears 28,163,529 kilometers in 0.0001 microseconds. We are looking for the speed calculated in factors of light speed. So basically, how many times light speed will Object X be required to travel to clear 28,163,529KM in 0.0001 of a microsecond.

The time range is whatever 0.0001 of a microsecond actually is. I am told the correct value of this is 0.00000000001 but I am not sure. Any help on this question is immensely appreciated.
 
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I moved the thread to our homework section as it is similar to a homework problem.
You can't go faster than the speed of light in our universe, but ignoring that:

1 microsecond = 0.001 milliseconds = 0.000 001 seconds.
0.000 1 microseconds = 0.000 1 * 0.000 001 seconds.
Spaces added to help counting zeros.
 
Appreciated! the result was 1e-11 which is 0.00000000001 or my original value

So now I need to know how fast the object moves to reach that distance in 0.00000000001

I ask because I'm getting different answers and a few people offered different answers, some said it was 938 billion times light speed, another said it was 9.3 trillion or so rounded down.
 
10-4 * 10-6 is 10-10.

To find the speed, just divide distance by time. Then divide by the speed of light to compare it to that. All those steps can be done by a calculator, or use WolframAlpha, then you can directly work with units.
 

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