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The slope at any time on your displacement graph is equal to the instantaneous value of the velocity at that time! Likewise, the value of

The slope at any time on your displacement graph is equal to the instantaneous value of the velocity at that time! Likewise, the value of the instantaneous acceleration at any time is equal to the slope at that time on your velocity graph. Find the slope at a couple times on your velocity graph and compare those slopes to the values in column 4 (acceleration) of your table. They might be highly similar but not identical because the slope of a tangent line on the graph tells you the INSTANTANEOUS value at a specific moment, while in the table we calculate the AVERAGE values over 0.2 second intervals. (Advanced note: technically, the acceleration value in row 0.4-0.6 s (for example) in column 4 of your table doesn't represent the acceleration from 0.4-0.6 s, since that acceleration value is based on the difference between the avg. velocity from 0.2-0.4 s and the average velocity from 0.4-0.6 s. You might want to think about it as the average acceleration from 0.3 s to 0.5 s. Don't let me confuse you too much, though.)

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