Position time graph of object moving in a straight line

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The position-time graph indicates that the object is farthest from the origin at point B, where it reaches the maximum distance on the x-axis. It is at rest for an instant at points B and D, as these points represent transitions from positive to negative slope, indicating zero velocity. The object remains at rest for a while at point E, where the graph should ideally show a straight horizontal line. Additionally, the object is moving away from the origin at point A. Overall, the analysis of the graph provides insights into the object's motion characteristics along the x-axis.
KendraSan
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Homework Statement


The diagram (http://i83.photobucket.com/albums/j282/missingyoub4urgone/Physicsyahoohelp.png) tracks the location of an object moving in a straight line along the x-axis. When is the object (a) farthest from the origin, (b) at rest for an instant, (c) in the midst of being at rest for a while, and (d) moving away from the origin?

(assume t=0 is the origin)

Homework Equations



velocity = displacement/time

The Attempt at a Solution



I thought it was farthest away at B(because that point is the greatest distance from the x-axis); at rest for an instant at B and D because its changing from positive slope to negative, thus has no velocity, at rest for a while E (the graph probably isn't quite accurate its supposed to be a straight horizontal line there), and moving away from the origin at A.
 
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