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 farther apart, indicating increasing speed (acceleration). In a position - time graph, this corresponds to a curve getting steeper. Among the given graphs, line 1 has a positive and increasing slope, so Object A matches line 1.

Step2: Analyze Object B

Object B has dots with an increasing spacing initially and then a constant spacing. This means it first accelerates and then moves at a constant speed. Line 2 has a positive slope that starts with a steeper part (acceleration) and then becomes less steep (constant speed), so Object B matches line 2.

Step3: Analyze Object C

Object C has dots evenly spaced, which means it is moving at a constant speed. In a position - time graph, a constant - speed motion is represented by a straight line with a constant positive slope. Line 3 is a straight line with a positive slope, so Object C matches line 3.

Answer:

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