Question

how fast is the object traveling during line segment #2? which line segments show the object is moving back? how long does it take the object to travel 10m? which line segments show that the object is at rest? 1 and 2 3 4 and 5 none

Explanation:

Step1: Identify object - at - rest segments

On a position - time graph, when the object is at rest, the position does not change with time, so the line segment is horizontal. Looking at the graph, line segments 4 and 5 are horizontal, so the object is at rest during these segments.

Step2: Identify backward - moving segments

The object moves backward when the position value decreases as time increases. None of the line segments in the given graph show a decrease in position as time goes on.

Step3: Calculate speed for line segment #2

Speed on a position - time graph is given by the slope of the line segment. For line segment #2, assume the initial position $x_1$, final position $x_2$, initial time $t_1$ and final time $t_2$. The slope $v=\frac{x_2 - x_1}{t_2 - t_1}$. However, since no numerical values for positions and times are clearly marked on the graph for line - segment #2, we cannot calculate the exact speed.

Step4: Determine time to travel 10m

Since there are no clear markings to determine when the object has traveled exactly 10m (no numerical position values are given that clearly show a 10m displacement), we cannot answer this part.

Answer:

Which line segments show that the object is at rest? 4 and 5
Which line segments show the object is moving back? None
How fast is the object traveling during line segment #2? Cannot be determined from the graph
How long does it take the object to travel 10m? Cannot be determined from the graph