Question

The velocity time graph of a body is shown in figure. The slope of the line is m. The distance travelled by body in time T second ?
A) mv^2/2T
B) v^2/2T
C) 2mv^2
D) v^2/2m

Please include steps.... The apt answer will be marked BRAINLIEST.. ​

Answer 1

Answer:

see attachment

answeris d option

Explanation:

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Answer 2

The distance travelled by the body in time T seconds is $\dfrac{v^2}{2m}$.

Explanation:

• The area under v-t graph gives displacement of a body. From the graph it is clear that initially the body is at rest.

Area of the curve will be :

Displacement, $d=\dfrac{1}{2}\times T\times v$........(1)

It is given that the slope of the line is m. Slope is given by :

$m=\dfrac{v}{T}$

This gives, $T=\dfrac{v}{m}$

Equation (1) becomes :

$d=\dfrac{1}{2}\times \dfrac{v}{m}\times v\\\\d=\dfrac{v^2}{2m}$

So, the distance travelled by the body in time T seconds is $\dfrac{v^2}{2m}$. Hence, the correct option is (d).

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