Odina walked down the hall at school from the cafeteria to the band room, a distance of 100.0m. A class of physics students recorded and graphed her position every 2.0s, noting that she moved 2.6m every 2.0s.
Which of the following graphs represents Odina’s motion?
The correct graph is C. Odina moved 2.6 meters for every 2 seconds and her speed is equal to the distance she travelled divided by the time, which is [tex] \frac{2.6 m}{2 s} [/tex] = 1.3 m/s. The speed of 1.3 m/s is also the slope of the graph that represents her motion. From the line sketched in graph C, at 2 seconds, her distance is approximately 2.6m.
First, you must notice that the x-axis represents the Time (measured in second)Odina walked down the hall and the y-axis represents the Distance (measured in meters)she traveled.At this graph you can notice that just in 2 seconds the distance she traveled is 2.6 meters as indicated in the statement above. As the graph is a line, this number will be a constant, that is, she will move 2.6m every 2.0s, so:
[tex]\frac{2.6m}{2s}=1.3m/s[/tex]
This number represents the velocity of Odina. Therefore, she moves at a rate of 1.3 meters per second
