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# An automated asteroid mining ship is traveling between two asteroids that are x km apart the mining ship has a

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he mining ship has a mass of 10,000 kg. The first rocket stage provides a thrust of 80 kN and is used over a distance of 100,000 km. The second rocket stage provides a thrust of 40 kN and is used over a distance of 200,000 km. The third rocket stage provides a thrust of 30 kN and is used over a distance of 400,000 km. 1) Calculate the final velocity of the rocket using two methods: a. Using the work-energy theorem. b. Using kinematics and Newton’s laws of motion. Hint: You might need to use the quadratic formula to solve for t: 2) Calculate the total amount of time it takes for the mining ship to reach the other asteroid. 3) If the ship has a reverse thruster that provides 200 kN of thrust, how many km before reaching the destination should the mining ship engage the reverse thrusters?
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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