SOLUTION: An object accelerates at 1 G. How long does it take to reach 90% of the speed of light. (I'm writing a sci-fi)

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Question 532701: An object accelerates at 1 G. How long does it take to reach 90% of the speed of light. (I'm writing a sci-fi)
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
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

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