Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

consider the dot diagrams for objects a, b, and c. the arrow represents…

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 dot - diagrams

In a position - time graph, the slope represents the velocity. The more spread out the dots in the dot - diagram (for equal time intervals), the greater the velocity. Object A has the fewest dots and is most spread out, so it has the highest velocity. Object C has the most dots and is least spread out, so it has the lowest velocity. Object B is in between.

Step2: Match with graphs

The steeper the line in a position - time graph, the greater the velocity. Line 1 has the steepest slope, line 3 has a moderate slope, and line 6 has the least steep slope.

Answer:

A matches graph: 1
B matches graph: 3
C matches graph: 6