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A spaceship maneuvering near Planet Zeta is located at r = (600 î − 400 ĵ + 200 k̂) × 103 km, relative to the planet, and traveling at v = (9500 î) m/s. It turns on its thruster engine and accelerates with a = (40 î − 20 k̂) 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.
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