A three part rocket begins intact as a single object in distant outer space, travlling to the right at `4.0km//h`. The first stage `(m_(1)=950,000kg)` explodes away from the rear of the rocket, with an unknown final velocity `(v_(tf))`. Later, the second stage `(m_(2)=550,000 kg)` explodes away from teh rear with a final velocity to the right at `6.0 km//s`. The third stage `(m_(2)=350,000kg)` ends up with a final velocity to the right of `13.0 km//s`. (All three move only along the `x-`axis . Ignore gravity. Assume that all parts of the rocket have constant masses.)
Find the impulse received by the first rocket stage.
A. `3250000 kg-km//sec`
B. `4250000kg-km//sec`
C. `780000kg-km//sec`
D. `780000kg-km//sec`