A space cowboy wants to eject from his spacecraft \(100,000 \mathrm{~km}\) after passing a space buoy, as seen by spectators at rest with respect to the buoy. To do this, the cowboy sets a timer on his craft that will start as he passes the buoy. He plans to cruise by the buoy at \(0.300 \mathrm{c}\). How much time should he allow between passing the buoy and ejecting?

A. \(1.01 \mathrm{~s}\)

B. \(1.06 \mathrm{~s}\)

C. \(1.11 \mathrm{~s}\)

D. \(1.33 \mathrm{~s}\)