Answer
(a) The velocity of an object is equal to the slope of the position versus time graph. At t = 1 s, the slope of the graph for object A is greater than the slope of the graph for object B, therefore, object A has a greater speed at t = 1 s.
(b) There is one moment when the slopes of the two graphs are equal. At approximately t = 2.5 s, the slopes of the two graphs are equal. At this moment, the two have objects have the same speed.
Work Step by Step
(a) The velocity of an object is equal to the slope of the position versus time graph. At t = 1 s, the slope of the graph for object A is greater than the slope of the graph for object B, therefore, object A has a greater speed at t = 1 s.
(b) There is one moment when the slopes of the two graphs are equal. At approximately t = 2.5 s, the slopes of the two graphs are equal. At this moment, the two have objects have the same speed.