The velocity time graph of an object is shown below. How far does the object travel in the time interval t =4 s to t = 6 s?
The distance covered by the object between t =4 s and t = 6 s is 4 m
Explanation:
In a velocity-time graph, the distance covered by the object represented can be found by calculating the area under the curve.
Therefore, the distance covered by the object between t = 4 s and t = 6 s is the area under the curve between 4 s and 6 s.
We see that we have to calculate the area of a triangle, with:
Base:
[tex]b=6-4 = 2[/tex]
And height:
[tex]h=4-0 = 4[/tex]
Therefore, the area is
[tex]A=\frac{1}{2}bh=\frac{1}{2}(2)(4)=4[/tex]
So, the distance covered by the object is 4 m.
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