Question

consider the dot diagrams for objects a, b, and c. the arrow represents the direction of motion. match the motion of objects a, b, and c to one of the lines on the graph. numbers can be used only one time. a matches graph: - b matches graph: - c matches graph: -

Explanation:

Step1: Analyze dot - diagram of Object A

Object A has evenly - spaced dots, indicating a constant velocity motion. On a position - time graph, a constant velocity is represented by a straight - line with a non - zero slope. Among the slanted lines 1, 2, 3, it has a moderate slope.

Step2: Analyze dot - diagram of Object B

Object B has dots that are closer together initially and then get farther apart, which means it is accelerating (speeding up). On a position - time graph, an accelerating object has a curve that gets steeper. But among the given options, we are looking for a straight - line for constant velocity or zero - velocity cases. Since it is not zero - velocity, and considering the nature of the slanted lines for constant velocity, it has a relatively small velocity compared to A and C.

Step3: Analyze dot - diagram of Object C

Object C has dots that are farther apart initially and then get closer together, which means it is decelerating (slowing down). Among the slanted lines, it has a relatively large initial velocity. So it corresponds to the line with the largest slope among the slanted lines.

Answer:

A matches graph: 2
B matches graph: 3
C matches graph: 1