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

Object A has dots getting closer together, indicating it is slowing down while moving in the positive - direction. A position - time graph for an object slowing down has a decreasing slope. Graph 3 shows a curve with a decreasing slope for positive motion, so A matches graph 3.

Step2: Analyze Object B

Object B has dots getting farther apart, meaning it is speeding up while moving in the positive - direction. A position - time graph for an object speeding up has an increasing slope. Graph 1 shows a curve with an increasing slope for positive motion, so B matches graph 1.

Step3: Analyze Object C

Object C has evenly spaced dots, which means it is moving at a constant positive velocity. A position - time graph for an object moving at a constant velocity is a straight line with a positive slope. Graph 2 shows a straight line with a positive slope, so C matches graph 2.

Answer:

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