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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+Vot+(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!