1.75 hours to the moon!
The concept of 1 g acceleration providing a comfortable environment for travel is enticing. But even if you have the energy it’s not so clear where you get the propellant throw mass.
Assuming acceleration is constant,
. So plotted over time, distance traveled is a nice parabola.
If you want the time it’d take for a specific distance, it’s easy to manipulate
If you’re using meters and seconds as your units,
To travel half the distance to the moon would take about 1.75 hours. The other half distance spent decelerating would take the same amount of time.