Aspaceship is traveling through deep space towards a space station and needs to make a course correction to go around a nebula. the captain orders the ship to travel 1.7 ✕ 106 kilometers, then turn 70° and travel an additional 2.7 ✕ 106 kilometers to reach the space station. if the captain had not ordered a course correction, what would have been the magnitude and direction of the path of the spaceship if it has traveled through the nebula?

Wo small variable-thrust jets are actuated to keep the spacecraft angular velocity about the z-axis constant at ? 0 = 1.16 rad/s as the two telescoping booms are extended from r1 = 1.18 m to r2 = 4.69 m at a constant rate over a period of 124 seconds. the small 19-kg experiment modules at the ends of the booms may be treated as particles, and the mass of the rigid booms is negligible. determine the necessary thrust t for each jet as a function of time where t = 0 is the time when the telescoping action is begun. after you have the general expression for t, answer the questions. show work.