college physics
posted by Lanise on .
Sirius is about 9.0 lightyears from Earth.
To reach the star by spaceship in 10 years (ship time), how fast must you travel?
How long would the trip take according to an Earthbased observer?
How far is the trip according to you?

Your question spurred me to look up the topic, being totally unfamiliar with it at this point.
I found it stated that Einstein’s special theory of relativity states that the time scale of an object moving at high speed is shortened in accordance with
……………t/t(o) = 1/sqrt[1 – (v^2/c^2)] where
t = the travel time to Sirius in seconds as observed by a person on Earth
t(o) = the travel time to Sirius as observed on a clock on the spaceship (10 years)
c = the speed of light = 186,300 m/s
v = the velocity of the spaceship as viewed by an observer on Earth
v(o) = the velocity of the spaceship as viewed by an observer on the spaceship
Let d = the distance from Earth to Sirius in miles = 9 light years
Given the information you offered, you should be able to derive the answers you seek.
Note that many scientists regard the contraction of time as a real phenomenon while others maintain that it is merely apparent.
A google search will undoubtedly provide you with much more information.