Rocket with 9.8 m/s² acceleration reaching 0.1c

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Homework Statement


A rocket ship in free space travels with a constant acceleration equal to 9.8m/s^s.
a)If it starts from rest how long does it take to reach a velocity of one tenth of the speed of light? Note: The speed of light in a vacuum is 3.0 x 10^8 m/s.
b)How far will it travel during this time?


Homework Equations


V=Vo+at
X=Xo+volt+(1/2)(a)(t)


The Attempt at a Solution


I started with making a variable list:
a=9.8 t=?
Vo=0 Xo=0
V=30,000,000 X=?

I plugged these values into the equation I mentioned in # 2.
The answers I got are:
a) 3061224.49sec
b)4.59 x 10^13
I wasn't sure how to do this and gave it a shot. Could you please explain.
Thanks!
 

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Your method is fine, but be careful with decimal points. Your answer for (a) is off by a factor of 10, making (b) off by a factor of 100.