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course Phy 231
9/1 1207Since the average acceleration is equal to the change in velocity over the change in time, the average acceleration multiplied by the change in time is equal to the change in velocity.
Since the sum of all the trapezoids = the integral of the function on that interval, the integral is equal to the total change in velocity.
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The sum of the trapezoids approximates the integral and as the time increment approaches zero, the sum of the trapezoids approaches the integral.
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