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I'd be carefull about writing a science paper for english class. I have a friend who recently wrote a paper on string theory for his english class. He dumbed it down as much as he could, and it was still too difficult for the english professor to understand. As a result, he didn't get a very good grade. It's easy to pad out an english paper to the required length with equations, but your teacher probably wants words. But completely skipping the derivation leads to a different problem; you'll probably get marked off for not explaning where the equation comes from. You'll run into problems whether you derive it or not.
If you insist on writing about relitivity, I would focus on the more basic topics that can be explained without a lot of math. I'd focus mostly on the definition of an intertial reference frame and the invariance of the spacetime interval. That'll be enough to solve some of the relativity paradoxes well enough for an english class.
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