If I was on a rocket accelerating at 1g for a Fortnite how fast would moving

To determine how fast you would be moving after accelerating at \(1g\) (where \(g\) is approximately \(9.81 \, \text{m/s}^2\)) for a duration of one fortnight, we first need to calculate the total time in seconds for that duration and then the final velocity using the equation of motion for constant acceleration. 1. **Convert a fortnight to seconds:** - A fortnight is 14 days. - Number of seconds in a day: \(86400 \, \text{s}\) (24 hours × 60 minutes × 60 seconds). - Total seconds in a fortnight: \[ 14 \, \text{days} \times 86400 \, \text{s/day} = 1,209,600 \, \text{s} \] 2. **Use the equation for final velocity:** - The equation for final velocity \(v\) under constant acceleration is: \[ v = u + at \] Where \(u\) is the initial velocity (assuming \(0 \, \text{m/s}\)), \(a\) is the acceleration (\(9.81 \, \text{m/s}^2\)), and \(t\) is the time in seconds. 3. **Calculate the final velocity:** \[ v = 0 + (9.81 \, \text{m/s}^2) \times (1,209,600 \, \text{s}) = 11,884,176 \, \text{m/s} \] Therefore, if you were on a rocket accelerating at \(1g\) for one fortnight, you would be moving at approximately **11,884,176 m/s**. Keep in mind that this speed is theoretical and does not take into account the practical limitations of acceleration and the effects of relativistic physics as you approach significant fractions of the speed of light.