http://scienceblogs.com/startswithabang/2011/06/01/striving-for-the-speed-of-ligh/(adsbygoogle = window.adsbygoogle || []).push({});

In this article, the author claims that it would take a little over 1.25 years to reach 90% the speed of light if we accelerate at 1g.

However, if I let F=dp/dt, where p=γmv, and then integrate F with respect to t (assuming F=mg), I get that the velocity, v, will be reached at the time:

t=v/sqrt(g^2-g^2*t^2/c^2)... and plugging v=.9c into this, I get the result that it should take about 2 years and a day to reach the speed of .9c.

Whose calculation is wrong? If it is mine, where did I go wrong, and how can I correct it in my expression for time as a function of velocity?

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