During which time interval was the motion fastest?

Question

Responses

1 h to 2 h

1 h to 2 h

2 h to 3 h

2 h to 3 h

3 h to 4 h

3 h to 4 h

4 h to 5 h

4 h to 5 h
Coordinate graph with title Displacement versus Time for a Car, showing Time in hours from zero to five over horizontal axis and Displacement in kilometers from zero to twenty five over vertical axis. A line is plotted on the graph, starting from origin and peaking at twenty before moving toward horizontal axis and intersecting it at five

Answer 1

To determine the time interval during which the motion was fastest, we need to analyze the slope of the line on the displacement vs. time graph you described. The slope of the line indicates the speed of the car; steeper slopes indicate faster motion.

1. 1 h to 2 h: If the line is steep during this hour, the speed is higher.
2. 2 h to 3 h: Check the slope here as well; if it's less steep than the previous hour, the speed may have decreased.
3. 3 h to 4 h: Same check; if the line is slanting down, the speed is negative (the car is returning).
4. 4 h to 5 h: Assess the slope again; if the line is approaching zero, then speed is decreasing.

Typically, you would need to compare the steepness of the slopes during each interval to find which one has the highest slope (meaning fastest speed).

Based on the information from the graph, it sounds like between 1 h to 2 h the motion may have been the fastest if that was when the slope was steepest. However, without seeing the actual slopes, it's hard to make a definitive conclusion.

If you're observing the graph yourself, look for the steepest segment and identify the corresponding time interval.