Question

which line segments show that the object is at rest? how long does it take the object to travel 10m? which line segments show the object is moving? how fast is the object traveling during line segment? 4 and 5? 8s 7s 6s 5s

Explanation:

Step1: Identify object - at - rest segments

On a position - time graph, the object is at rest when the position does not change with time (horizontal line segments). In the given graph, line segments 4 and 5 show that the object is at rest as the position remains constant over time.

Step2: Identify moving segments

The object is moving when the position changes with time (non - horizontal line segments). All non - horizontal line segments in the graph show the object is moving.

Step3: Calculate time to travel 10m

We need to find the total time taken for the object to cover a displacement of 10m. By observing the graph, we can see that it takes 8s for the object to travel 10m.

Step4: Calculate speed of a segment

Speed is given by the formula $v=\frac{\Delta x}{\Delta t}$, where $\Delta x$ is the change in position and $\Delta t$ is the change in time. However, since the question does not specify which line segment for speed calculation, we assume it's asking in general terms of understanding the graph.

Answer:

• Which line segments show that the object is at rest? 4 and 5
• Which line segments show the object is moving? All non - horizontal line segments
• How long does it take the object to travel 10m? 8s
• How fast is the object traveling during a line segment (general understanding from graph)? Speed is given by $v = \frac{\Delta x}{\Delta t}$ for each non - horizontal segment.