The position-time graph of a pedestrian is given below. what is his displacement after 2.5 s?
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Answer:
The displacement of the pedestrian after 2.5 seconds is -10 meters.
Explanation:
Let [tex]x(t)[/tex] and [tex]t[/tex] be position, measured in meters, and time, measured in seconds, respectively. From definition of displacement, we get that:
[tex]d = x(2.5\,s)-x(0\,s)[/tex]
Where:
[tex]x(0\,s)[/tex] - Position of the pedestrian at 0 seconds, measured in meters.
[tex]x(2.5\,s)[/tex] - Position of the pedestrian at 2.5 seconds, measured in meters.
If [tex]x(0\,s) = 10\,m[/tex] and [tex]x(2.5\,s) = 0\,m[/tex], then the displacement of the pedestrian after 2.5 seconds is:
[tex]d = 0\,m-10\,m[/tex]
[tex]d = -10\,m[/tex]
The displacement of the pedestrian after 2.5 seconds is -10 meters.