To calculate how long it would take to travel a distance of 3,000 light-years, we need to consider that the speed of light is the maximum speed at which information or objects can travel in our universe. Since nothing can travel faster than light, it sets a hard limit on the time it would take to cover such vast distances.
If we assume a constant speed throughout the journey and use the speed of light as the upper limit, we can calculate an estimate. Traveling at the speed of light, it would take approximately 3,000 years to cover a distance of 3,000 light-years. This is because the distance and time are equal when traveling at the speed of light.
However, it's crucial to note that achieving the speed of light is currently impossible with our current technology and understanding of physics. As mentioned earlier, objects with mass would require infinite energy to reach or exceed the speed of light, according to our current knowledge.
Therefore, the travel time to cover 3,000 light-years would be much longer than 3,000 years using any feasible means of transportation we currently possess. Interstellar travel is a subject of ongoing scientific research and speculative concepts, but we do not have practical methods for achieving such journeys within a human lifetime at this time.