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 Object A's motion

Object A has dots getting closer together, indicating it is slowing down. A slowing - down object has a decreasing velocity, and on a position - time graph, its slope (which represents velocity) should decrease. Graph 5 shows a curve with a decreasing slope, so Object A matches graph 5.

Step2: Analyze Object B's motion

Object B has dots getting farther apart, meaning it is speeding up. A speeding - up object has an increasing velocity, and on a position - time graph, its slope should increase. Graph 1 shows a curve with an increasing slope, so Object B matches graph 1.

Step3: Analyze Object C's motion

Object C has evenly spaced dots, which means it is moving at a constant speed. A constant - speed object has a constant slope on a position - time graph. Graph 3 shows a straight line (constant slope), so Object C matches graph 3.

Answer:

A matches graph: 5
B matches graph: 1
C matches graph: 3