Analysis of Curve Trajectory - Is It Correct?

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firavia
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I want to know whether this analysis in the image is correct or no ,and if no pleas I want u to explain me the reason thank you ..
 

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this is a better picture that explains what I am really asking about ...
 

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#2 as long as the second force is applied at the center of mass. If it's applied foreward of the center of mass, it will not only cause the townward acceleration, but also the torque that would rotate the ship.

Basically, as you drew it, #2 is the solution. If you move the thruster foreward on the ship, #1 is the solution.