Question

What is the displacement of the particle in the time interval 7 seconds to 8 seconds?OA. O metersОВ.1.5 metersOC. 3 metersOD. 7 meters

Answer 1

Given,

A velocity-time graph.

The area under the curve of a velocity-time graph of an object gives us the displacement of the object.

From the graph, we can see that the area under the curve from 7 seconds to 8 seconds is a triangle.

The height of the triangle is h=6 m/s.

And the base of the triangle is b=1 s.

The area of a triangle is given by,

`A=(1)/(2)bh`

On substituting the known values,

`\begin{gathered} A=0.5*6*1 \\ =3\text{ m} \end{gathered}`

Therefore the displacement of the particle in the time interval 7 s to 8 s is 3 meters.

Thus, the correct answer is option C.