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Which of the following data sets represent the motion of an object with an acceleration of +4.0 m/s/s? List all that apply ... .
(Note: The actual acceleration value is picked at random and may differ from the one listed here.)
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The average acceleration value (a) of an object can be computed from knowledge of the velocity change (Δv) and time change (Δt).
a = Δv / Δt
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An object with an acceleration of +4.0 m/s/s is changing its velocity by +4.0 m/s every second. For each 1-second interval in time, the velocity increases by 4.0 m/s. If the overall velocity change (found from the first and the last row of the table) is divided by the overall time change, then the ratio would be 4.0 m/s/s.
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Careful attention will have to be given to the time values in each table. They likely increment by either 0.5 seconds or 1.0 second. An acceleration of +4.0 m/s/s corresponds to an increase in velocity by 2.0 m/s for every 0.5 seconds of time increase. That makes a Δv/Δt ratio of 4.0 m/s/s.
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