Analyze the provided image which contains a graph illustrating distance (S, km) versus time (t, h) for two objects, labeled A and B. Extract data points and describe the motion depicted.

Analysis of the Graph

The graph shows the distance traveled by two objects, A and B, over time. The x-axis represents time in hours (t, h), and the y-axis represents distance in kilometers (S, km).

Object B's Motion:

• Object B starts at distance 0 at time 0.
• From t=0 to approximately t=8, Object B travels at a constant speed. At t=8, the distance is approximately 190 km.
• The speed of Object B can be calculated as approximately \( \frac{190 \text{ km}}{8 \text{ h}} = 23.75 \text{ km/h} \).

Object A's Motion:

• Object A appears to start its motion later, or its initial movement is not shown for t < 5.
• From t=5 to t=8, Object A travels at a constant speed, reaching approximately 50 km at t=8. The speed in this segment is approximately \( \frac{50 \text{ km}}{3 \text{ h}} \approx 16.67 \text{ km/h} \).
• From t=8 to t=10, Object A's distance remains constant at approximately 50 km, indicating it stopped.
• From t=10 to t=12, Object A travels again, reaching approximately 80 km at t=12. The speed in this segment is \( \frac{80 - 50}{2} = \frac{30}{2} = 15 \text{ km/h} \).
• From t=12 to t=13, Object A's distance remains constant at approximately 80 km, indicating it stopped again.
• From t=13 to t=14, Object A travels again, reaching approximately 110 km at t=14. The speed in this segment is \( \frac{110 - 80}{1} = 30 \text{ km/h} \).
• From t=14 onwards, Object A's distance remains constant at approximately 110 km, indicating it stopped.

Key Observations:

• Object B travels at a significantly higher and more constant speed than Object A.
• Object A exhibits periods of constant velocity (moving) and periods of zero velocity (stopped).
• The labels 'A' and 'B' on the graph clearly mark the trajectories of the two objects.