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 on one - side and farther apart on the other, indicating it first slows down and then speeds up in the opposite direction. This matches a non - linear position - time graph where the slope (velocity) changes sign. Graph 5 shows a curve that first has a decreasing positive slope (slowing down) and then a negative increasing slope (speeding up in the opposite direction), so Object A matches graph 5.

Step2: Analyze Object B

Object B has dots getting closer together, which means it is slowing down. A slowing - down object has a decreasing positive slope on a position - time graph. Graph 3 shows a curve with a decreasing positive slope, so Object B matches graph 3.

Step3: Analyze Object C

Object C has dots getting farther apart, which means it is speeding up. A speeding - up object has an increasing positive slope on a position - time graph. Graph 1 shows a curve with an increasing positive slope, so Object C matches graph 1.

Answer:

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