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  4. A particle is moving with constant acceleration 'a'. Following graph shows v2 versus x (displacement) plot. The acceleration of the particle is m / s 2.

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Q. A particle is moving with constant acceleration $'a'$. Following graph shows $v^{2}$ versus $x$ (displacement) plot. The acceleration of the particle is _____$m / s ^{2}$.Physics Question Image

JEE MainJEE Main 2021Motion in a Straight Line

Solution:

$y=m x+C$
$v^{2}=\frac{20}{10} x+20$
$v^{2}=2 x+20$
$2 v \frac{d v}{d x}=2$
$\therefore a=v \frac{d v}{d x}=1$