Suppose a rocket ship in deep space moves with constant acceleration equal to 9.80 m/s2, which gives the illusion of normal gravity during the flight. (a) If it starts from rest, how long will it take to acquire a speed 12% that of light, which travels at 3.0 × 108 m/s? (b) How far will it travel in so doing

Question

So. I know that 12% is 0.12, I know that acceleration is constant (9.8m/s^2)
I have established that t=0.12
t*a(constant), 0.12*(3.0x10^8)=3.6x10^7.
Apparently my answer is supossed to be 3.6x10^6. I thought the answer should be in seconds, but apparently that is wrong as well.

Answer 1

v= a t

.12 * 3 % 10^8 = 9.8 t

t = .0367 * 10^8 = 3.67 * 10^6

then
d = (1/2) a t^2