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.