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 equally - spaced dots, indicating a constant velocity. A constant - velocity motion has a position - time graph that is a straight line with a non - zero slope. Graph 3 is a straight line, so Object A matches graph 3.

Step2: Analyze Object B's motion

Object B has dots that are getting closer together, which means it is slowing down. A slowing - down motion has a position - time graph where the slope is decreasing. Graph 5 has a decreasing slope, so Object B matches graph 5.

Step3: Analyze Object C's motion

Object C has dots that are getting farther apart, which means it is speeding up. A speeding - up motion has a position - time graph where the slope is increasing. Graph 4 has an increasing slope, so Object C matches graph 4.

Answer:

A matches graph: 3
B matches graph: 5
C matches graph: 4