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 with increasing spacing, indicating increasing speed. In a position - time graph, a steeper slope means higher speed. So it matches the line with the steepest positive slope, which is 1.

Step2: Analyze Object B

Object B has dots with equal spacing, indicating a constant speed. Among the positive - sloped lines with constant slope (linear), the least steep one is 3.

Step3: Analyze Object C

Object C has dots with decreasing spacing, indicating decreasing speed. In the negative - sloped lines, the one with decreasing steepness (less negative slope over time) is 5.

Answer:

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