Dudes!
The exact answer is 0,0257c (I assumed 1g = 10m/sek^2 and half distance to Pluto to be 20AE). It's already solved in 8:th post. You don't need to solve two equations, there is already a shortened equation. If you know start speed, end speed and distance then acceleration can be presented this way:
As we already know the acceleration to be 1g = 9.78m/sek^2 and that start speed v0 = 0 then it's simply a matter of calculating v.
v[m/sek]= sqr(a[m/sek^2]*2s[m])
v being so low compared to speed of light, relativistic aspects don't come into play. As pazuzu said before, Lorenz Factor is almost 1 so it's not worth crunching it from relativistic point of view. Now give as a real problem!
