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by seeing how fast the particle is moving
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because you know it started with some speed.
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It's gaining speed at some rate a.
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So, if the speed was so and so now,
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then the time had to be this.
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So time can be indirectly inferred from these quantities.
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Then you take that formula here
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and you put it here,
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that will see a times t, you put this expression.
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So what will you get?
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We'll get an expression in which there is no t;
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t has been banished in favor of v.