Randall D. Knight — Kinematics in Two Dimensions: Problem Problem_44

A spaceship maneuvering near Planet Zeta is located at \(\vec{r} = (600\hat{i} - 400\hat{j} + 200\hat{k}) \times 10^3 \text{ km}\), relative to the planet, and traveling at \(\vec{v} = 9500\hat{i} \text{ m/s}\). It turns on its thruster engine and accelerates with \(\vec{a} = (40\hat{i} - 20\hat{k}) \text{ m/s}^2\) for \(35 \text{ min}\). What is the spaceship’s position when the engine shuts off? Give your answer as a position vector measured in km.