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 dots evenly spaced, indicating a constant velocity motion in the positive direction. On a position - time graph, a constant velocity motion is represented by a straight - line with a positive slope. Line 1 has a positive slope and represents a constant velocity motion, so Object A matches line 1.

Step2: Analyze dot - diagram of Object B

Object B has dots that are also evenly spaced but with a larger spacing compared to A, meaning it has a greater constant velocity in the positive direction. Among the positive - slope lines, line 2 has a steeper slope than line 1, representing a greater velocity. So Object B matches line 2.

Step3: Analyze dot - diagram of Object C

Object C has dots with the largest spacing among A, B and C, indicating the greatest constant velocity in the positive direction. Line 3 has the steepest positive slope among the given lines, representing the greatest velocity. So Object C matches line 3.

Answer:

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