# An object is hanging vertically on a rubber cord while oscillating up and down. In a coordinate system with the y axis pointing vertically up, the velocity of the object (in m/s) is shown below.14121086422-4-6-8-10-12-1446101214time (seconds)

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If the initial time is t = 0 s and the final time is the final time shown on the graph, select whether each of the following are: up, down, or zero.

The average acceleration
The displacement
The average velocity

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Step 1

The figure we have been given is:

Step 2

Part(a)

We can conclude the slope of the tangent describes its acceleration from the above figure. Also, since the final velocity vf is positive and initial velocity vi is negative, also │vf│>│vi│ hence, the average acceleration (aavg) is positive (UP) for a given time.

Step 3

Part(b)

The net displacement (s) from the above graph can be given by the area under the curve defined as...

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