The distance time graph can be used to show the distance an object moves along a straight line
The best interpretation of the balls motion is given by the option;
The ball doesn't move at first, Then it moves backwards and finally stops
The data points in the given distance time graph are presented as follows;
[tex]\begin{array}{|c|cc|}Time \, (s)&&Position \, (m)\\0&&5\\3&&5\\8&&0\\10&&0\end{array}\right][/tex]
The velocity of a distance time graph is given by the slope of the graph as follows;
The velocity from 0 to 3 seconds, [tex]v_{(0 \ to \ 3)}[/tex] = (5 - 5)/(3 - 0) = 0/3 = 0, therefore, in the first few seconds, the ball has zero velocity and is not moving, which gives;
The ball doesn't move at first
The velocity from 3 seconds to 8 seconds, [tex]v_{(3 \ to \ 8)}[/tex] = (0 - 5)/(8 - 3) = -1
The velocity from 3 seconds to 8 seconds, = -1 m/s, that is, the ball is moving backwards. Therefore;
The ball moves backwards
The velocity from 8 seconds to 10 seconds, [tex]v_{(8 \ to \ 10)}[/tex] = (0 - 0)/(10 - 8) = 0
Therefore;
The ball stops
Combining, we get;
The ball doesn't move at first, Then it moves backwards and finally stops
Learn more about the distance time graph here:
https://brainly.com/question/22125199
