Answer
(a) point B
(b) point D
(c) points A, C, and E
(d) point D
Work Step by Step
The velocity of an object is equal to the slope of the position versus time graph.
(a) The object is moving the slowest when the slope is the smallest (but non-zero). The slope is zero at points A, C, and E so the object is not moving at these points. The slope at point D is steeper than the slope at point B. Therefore, the object is moving the slowest at point B.
(b) The slope is the steepest at point D, so the object is moving the fastest at point D.
(c) The slope is zero at points A, C, and E so the object is not moving at these points. The object is at rest at points A, C, and E.
(d) The object is moving to the left when the slope is negative. The slope is negative at point D, so the object is moving to the left at point D.
