Question

which table best shows the average speed of the cat at different time intervals? there is a distance - time graph and two tables (a and b) with time intervals (0 - 3 s, 3 - 6 s, 6 - 9 s) and average speed values. table a: 0 - 3 s: 2.5 m/s, 3 - 6 s: 1.0 m/s, 6 - 9 s: 0 m/s. table b: 0 - 3 s: 0 m/s, 3 - 6 s: 0.5 m/s, 6 - 9 s: 3.0 m/s.

Explanation:

Step1: Define average speed formula

Average speed = $\frac{\text{Change in distance}}{\text{Change in time}}$

Step2: Analyze time interval 0-3s

From graph: distance at 0s=10m, 3s=7m.
Average speed = $\frac{10-7}{3-0} = 1$ m/s.

Step3: Analyze time interval 3-6s

From graph: distance at 3s=7m, 6s=7m.
Average speed = $\frac{7-7}{6-3} = 0$ m/s.

Step4: Analyze time interval 6-9s

From graph: distance at 6s=7m, 9s=4m.
Average speed = $\frac{7-4}{9-6} = 1$ m/s.

Step5: Match with tables

Table A has 1,0,1 m/s for 0-3,3-6,6-9s.

Answer:

A. Table A (Time intervals 0-3:1, 3-6:0, 6-9:1 m/s)