A spaceship travels at a speed of 0.95c to the nearest star, Alpha Centauri, 4.3 light years (ly) away. How long does the trip take from the point of view of the passengers on t…

Question

asked Feb 17, 2020 31.0k views

1 Answer

Fady Kamal · Answer 1 · 2020-02-23T09:21:22+0000

Answer:

A 1.4ly

Explanation:

speed v= 0.95c c= speed of light distance t₀=4.3ly

As per the time dilation priciple we know that

$t=t_(0)\sqrt {\frac {c^2 -v^2}{c^2}}$

$\Rightarrow t=4.3\sqrt {1-0.95^2}$

t=1.4 ly

therefore, it will take 1.4ly for the trip from the point of view of passenger on ship. ly here is light year.