HINT:#
The question is asking for the earth year during which Supernova exploded.
HINT:#
The problem tells us how many arcseconds from the center of the star's remnant the knot that we have been analyzing has traveled. From the previous calculations, we can also determine the number of arc-seconds that the knot travels per year.
HINT:#
The elapsed time during which the knot traveled a given number of arc-seconds is equal to
t = #arc-seconds traveled * (years/#arc-seconds traveled)
Year of explosion = Current date - t
HINT:#
arc-seconds traveled = 100 arc-seconds
years/#arc-seconds traveled = 10 years/3 arc-seconds
HINT:#
Let's use unit analysis:
t(km) = # arc-seconds traveled* (years/#arc-seconds traveled)
All units cancel except for years, so we do not need to convert any units!
HINT:#
t = 100 arc-seconds * 10 years/3 arc-seconds = 330 years
date = 2000 CE - 330 years = 1670 CE

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