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namely a certain force.
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So, I'm going to write here
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as you can imagine F / m in the place of a,
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but I'm going to make one more cosmetic change in notation.
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In all these energy formulas,
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rather than calling the initial velocity or initial anything
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with subscript zero and the final is no subscript,
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we are going to use a notation where
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the final quantities are denoted with a subscript 2,
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initial quantities are denoted by a subscript 1.
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In other words, initially, the body had a velocity of v1,
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and then it had an acceleration a for a distance d,