Suppose a plane accelerates from rest for \(30 \mathrm{~s}\), achieving a takeoff speed of \(80 \mathrm{~m} / \mathrm{s}\) after traveling a distance of \(1200 \mathrm{~m}\) down the runway. A smaller plane with the same acceleration has a takeoff speed of \(40 \mathrm{~m} / \mathrm{s}\). Starting from rest, after what distance will this smaller plane reach its takeoff speed?

A. \(300 \mathrm{~m}\)

B. \(600 \mathrm{~m}\)

C. \(900 \mathrm{~m}\)

D. \(1200 \mathrm{~m}\)