Chapter 4, Problem 44EAP

A spaceship maneuvering near Planet Zeta is located at $\stackrel{\to }{r}$ = (600î — 400j + 200k) × 10³ km, relative to the planet, and traveling at $\stackrel{\to }{v}$ = 9500î m/s. It turns on its thruster engine and accelerates with $\stackrel{\to }{a}$ = (40î — 20 $\stackrel{︹}{k}$ ) m/s² for 35 min. What is the spaceship’s position when the engine shuts off? Give your answer as a position vector measured in km.