Question

why did thomas paine write common sense?
paine wanted to make sure history remembered him.
paine was forced by the colonial government to write it.
paine felt that it was his duty to speak out.

Explanation:

Thomas Paine wrote Common Sense to advocate for American independence. His motivation was not about personal fame (so the first option is wrong) nor was he forced by the colonial government (the second option is incorrect as the colonial government was the British - which he opposed). He genuinely believed it was his duty to voice the case for independence.

Answer:

Paine felt that it was his duty to speak out.