Question

interpreting motion from graphs
rank the graphs from the least to the greatest displacement
c, a=b
a, b, c
a, c, b
a=b, c

Explanation:

Step1: Define displacement

Displacement is the change in position. For a position - time graph, it is the final position minus the initial position.

Step2: Analyze graph A

In graph A, the initial position is 10 m and the final position is 10 m. So, the displacement $\Delta x_A=10 - 10=0$ m.

Step3: Analyze graph B

In graph B, the initial position is 0 m and the final position is 0 m. So, the displacement $\Delta x_B=0 - 0 = 0$ m.

Step4: Analyze graph C

In graph C, the initial position is 10 m and the final position is 0 m. So, the displacement $\Delta x_C=0 - 10=- 10$ m. The magnitude of the displacement is 10 m.

Answer:

A = B, C