How fast do we need to travel to get to proxima b in 2 weeks?

Proxima Centauri b, the closest known exoplanet to Earth, is approximately 4.24 light-years away. To calculate how fast you would need to travel to reach Proxima b in 2 weeks, first, we need to convert the distance into a more manageable unit. 1 light-year is about 5.88 trillion miles (9.46 trillion kilometers). Therefore, the distance to Proxima Centauri b is approximately: \[ 4.24 \text{ light-years} \times 5.88 \text{ trillion miles/light-year} \approx 24.95 \text{ trillion miles} \] Now, let's convert 2 weeks into hours to find the travel time in hours: \[ 2 \text{ weeks} = 2 \times 7 \text{ days/week} \times 24 \text{ hours/day} = 336 \text{ hours} \] Next, we can calculate the necessary speed to cover that distance in that time: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{24.95 \text{ trillion miles}}{336 \text{ hours}} \approx 74.3 \text{ billion miles per hour} \] To put it into perspective, the speed of light is about 670,616,629 miles per hour. If we divide our required speed by the speed of light, we find that: \[ \frac{74.3 \text{ billion miles per hour}}{670,616,629 \text{ miles per hour}} \approx 110,000 \] This means you would need to travel at approximately 110,000 times the speed of light to reach Proxima Centauri b in 2 weeks, which is currently beyond our technological capabilities and not feasible according to our current understanding of physics.