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that gives you the velocity later.
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Take the difference of the two velocities
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and divide by the difference of the two times,
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and you've got the acceleration.
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Of course,
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you have allowed it to move a finite distance in a finite time.
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What you should imagine doing
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is making these three measurements more and more quickly.
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You need three positional measurements.
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Now, a little later, and a little later later,
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because between the first and second, you get a velocity,
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the second and third you get another velocity.