The distance between our closest star, Proxima Centauri, and the Andromeda Galaxy is approximately 2.537 million light-years. To calculate the time it would take to travel from Proxima Centauri to Andromeda at the speed of light, we divide the distance by the speed of light.
Speed of light = 299,792,458 meters per second
Distance to Andromeda = 2.537 million light-years
Time = Distance / Speed of light
Converting the distance to meters:
2.537 million light-years = 2.537 million * (9.461 trillion kilometers * 1,000 meters/kilometer) * (365.25 days/year * 24 hours/day * 3,600 seconds/hour)
Calculating the time:
Time = (2.537 million * 9.461 trillion * 1,000 * 365.25 * 24 * 3,600) / 299,792,458
The calculated time would be approximately 2.84 billion years.
It's important to note that this calculation assumes constant speed and does not take into account relativistic effects. Additionally, traveling at the speed of light is currently considered impossible for massive objects based on our current understanding of physics.