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 for Object A

Object A has dots getting farther apart over equal time intervals, indicating increasing speed (acceleration). In a position - time graph, this corresponds to a curve getting steeper over time. Graph 1 has the steepest and increasing slope, so Object A matches graph 1.

Step2: Analyze dot - diagram for Object B

Object B has dots evenly spaced, indicating a constant speed. In a position - time graph, a constant speed is represented by a straight - line with a non - zero slope. Graph 2 has a straight - line with a non - zero slope, so Object B matches graph 2.

Step3: Analyze dot - diagram for Object C

Object C has dots getting closer together over equal time intervals, indicating decreasing speed (deceleration). In a position - time graph, this corresponds to a curve getting less steep over time. Graph 3 has a slope that is decreasing, so Object C matches graph 3.

Answer:

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