High School

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A star is 36.6 light-years from Earth.

How long would it take a spacecraft traveling at [tex]0.950c[/tex] to reach that star, as measured by an observer on Earth?

Answer :

Answer:

0.3125 times the time measured by the observer on Earth

Explanation:

t' = t / sqrt(1 - (v^2 / c^2))

Given:

v = 0.950c

c = speed of light

t = time measured by observer on Earth

Subbing in values:

t' = t / sqrt(1 - (0.950^2))

Calculation:

t' = t / sqrt(1 - 0.9025)

t' = t / sqrt(0.0975)

t' = t / 0.3125

The time experienced by the spacecraft traveling at 0.950c to reach the star, as measured by an observer on Earth, is 0.3125 times the time measured by the observer on Earth.

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