Why Does x = 1/2(vi + vf)t Hold True?

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jeszie
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Can you explain, or prove why we have this equation as I'm interested in learning the equation as well as knowing from where that people derive it?
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What does 1/2 * (vi + vf) suggest to you?

If I were to drive my car at 10mph and then over a given time period accelerate to 20mph then what would 1/2*(10+20) represent?
 
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wrong answer - edited
 
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