(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The nearest star to Earth is Proxima Centauri, 4.3 light-years away. At what constant velocity must a spacecraft travel from Earth if it is to reach the star in 3.7 years, as measured by travelers on the spacecraft? How long does the trip take according to Earth observers?

2. Relevant equations

Earth observer: Δt=x/(c*√(1-v^{2}/c^{2}))=Δt_{o}/√(1-v^{2}/c^{2}) where Δt_{o}=time observed by person on spacecraft

Δt_{o}=3.7 yr=1.164e^{8}s

x=4.3 ly=4.068e^{16}m

c=3.0e^{8}m/s

3. The attempt at a solution

I tried using the two versions of the equation above with the known quantities plugged in such that (1.164e^{8}/√(1-v^{2}/c^{2})=4.068e^{16}/(c*√(v^{2}/c^{2})), but this is a false statement, so there must be something wrong with my equations or the way I am using them because that method does not yield an answer. Any help is appreciated, thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Time Dilation for spaceship

**Physics Forums | Science Articles, Homework Help, Discussion**