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 that are evenly - spaced, indicating a constant velocity in the negative direction. On a position - time graph, a constant negative velocity is represented by a straight line with a negative slope. Line 6 has a negative slope and represents a constant velocity motion in the negative direction.

Step2: Analyze Object B

Object B has dots that are closer together on the left and farther apart on the right, moving in the negative direction. This means it is accelerating in the negative direction. On a position - time graph, an accelerating motion in the negative direction is represented by a curve that gets steeper in the negative - slope direction. Line 5 represents an accelerating motion in the negative direction.

Step3: Analyze Object C

Object C has dots that are farther apart on the left and closer together on the right, moving in the negative direction. This means it is decelerating in the negative direction. On a position - time graph, a decelerating motion in the negative direction is represented by a curve that gets less steep in the negative - slope direction. Line 4 represents a decelerating motion in the negative direction.

Answer:

A matches graph: 6
B matches graph: 5
C matches graph: 4