A spaceship maneuvering near Planet Zeta is located at r =(600i^400j^+200k^)10³km, relative to the planet, and traveling at v =9500i^m/s. It turns on its thruster engine and accelerates with a =(40i^20k^)m/s² for 35 min.

What is the spaceship's position when the engine shuts off? Give your answer as a vector measured in km.

Express your answer in terms of the unit vectors i^, j^, and k^.