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  4. The velocity-displacement graph describing the motion of a bicycle is shown in the figure <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/c91f34c6e5c15aa853f94fd22b848ead-.png /> The acceleration-displacement graph of the bicycle's motion is best described by :

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Q. The velocity-displacement graph describing the motion of a bicycle is shown in the figure
image
The acceleration-displacement graph of the bicycle's motion is best described by :

JEE MainJEE Main 2021Motion in a Straight Line

Solution:

For $0 \leq x \leq 200$
$v=\,mx\,+C$
$v=\frac{1}{5}\,x+10$
$a=\frac{v d v}{d x}=\left(\frac{x}{5}+10\right)\left(\frac{1}{5}\right)$
$a=\frac{x}{25}+2 \Rightarrow $ Straight line till $x=200$
for $x>200$
$v=$ constant
$\Rightarrow a=0$
image
Hence most approriate option will be $(1)$otherwise it would be $BONUS$.