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Problem: I have a rocket moving (linear) along a certain vector . I want to then pitch that rocket some known degrees (call theta) and I basically want to know to solve for how long it will take for the rocket to complete the pitch maneuver.

I believe that the initial angular velocity is 0 since the rocket is moving in a straight line. And the final angular velocity is also 0 since the rocket will be moving in straight line (new velocity vector) after the maneuver.