UPDATE: 5/12: I'm making progress on this project and I can now ask a few, more specific questions. However, to expedite things, would anyone be willing to allow me to contact them directly? It would speed things up considerably.
Until then, (and please excuse my inability to calculate variations of the formulas offered below) my current question is:
Traveling vertically straight up at an acceleration of 3Gs, how long would it take to reach an altitude of 250 miles? And how fast would you be traveling upon arrival (no need to decelerate)?
I'm a screenwriter developing a screenplay for a possible movie and I need some help calculating acceleration so the facts in the film are accurate. I also need solutions with different variables (described below) so I can build the story properly (I tried doing the math myself, but my algebra skills have atrophied).
Accelerating vertically at a constant 1G, how long would it take to reach an altitude of 250 miles? (Please note, this is not into orbit, just altitude)
How about to an altitude of 22,236 miles?
How fast would you be traveling when you reached 250 miles and 22,236 miles respectively?
I also need answers for acceleration at 3Gs, 6Gs and 9Gs.
If I only had 30 minutes to reach 250 miles altitude, how many Gs would I experience and how fast would I be traveling upon arrival?
What if I only had 20 minutes?