The nearest star to Earth is Proxima Centauri, 4.3 lightyears away. At what constant velocity must a spacecraft travel from Earth if it is to reach the star in 3.8 years, as measured by travelers on the spacecraft?
How long does the trip take according to Earth observers?
How long does the trip take according to Earth observers?
1 Answer
Apr 12, 2018
Explanation:
From the Lorentz transform:

#x' = 0# 
#t' = 3.8 y# 
#x = 4.3 \ c*y#
With
For the time transform: