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Help Calculating a interstellar Speed requirements

  1. Sep 4, 2016 #1
    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.
     
  2. jcsd
  3. Sep 4, 2016 #2

    mfb

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    2016 Award

    Staff: Mentor

    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.
     
  4. Sep 4, 2016 #3
    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.
     
  5. Sep 5, 2016 #4

    mfb

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    Staff: Mentor

    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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