Question

how long, in years, does it take an astronaught to travel 4.1 lightyears at 0.95c (as measured by the earth-bound observer)?

Answer 1

From an Earth-bound observer's perspective, it would take approximately 4.32 years for an astronaut to travel 4.1 light-years at a speed of 0.95c.

Step-by-step explanation:

The question asks how long it would take for an astronaut to travel 4.1 light-years at a speed of 0.95c, where c represents the speed of light, from the perspective of an observer on Earth. To calculate this, we use the formula time = distance/speed. The distance is 4.1 light-years, and the speed is 0.95c.

So, time taken (Earth observer's perspective) = 4.1 ly / 0.95c. Since 1 light year is the distance light travels in one year, 1 ly = c × 1 year. Therefore, time taken = 4.1 / 0.95 years = approximately 4.32 years.