Question

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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:

1. Object A: The dots get closer together in the direction of motion, meaning the object is slowing down (decreasing speed). On a position-time graph, this corresponds to a curve with a decreasing slope (becoming less steep). This matches Graph 1.
2. Object B: The dots get farther apart in the direction of motion, meaning the object is speeding up (increasing speed). On a position-time graph, this corresponds to a curve with an increasing slope (becoming steeper). This matches Graph 4.
3. Object C: The dots are equally spaced, meaning the object is moving at a constant speed. On a position-time graph, this corresponds to a straight, upward-sloping line. This matches Graph 2.

Answer:

A matches graph: 1
B matches graph: 4
C matches graph: 2