vf = v0 + at
where vf = final velocity
and v0 = initial velocity
and a = acceleration
and t = time in seconds
We solve it for t
at = vf - v0
t =
The speed of light is 299792458 m/s, 90% of that is 269813212.2 m/s
so that will be vf.
We will assume starting from rest so we will use v0 = 0
1 G is the acceleration = 9.81 m/sē,
we substitute in
t =
t =
t = 27503895.2 seconds = 458398.3 hours = 19099.9 days = 52.3 years.
Edwin