The velocity-displacement graph describing the motion of a bicycle is shown in the figure

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Question:

The velocity-displacement graph describing the motion of a bicycle is shown in the figure

The acceleration-displacement graph of the bicycle's motion is best described by : 


Correct Option: 1

Solution:

For $0 \leq x \leq 200$

$\mathrm{v}=\mathrm{mx}+\mathrm{C}$

$v=\frac{1}{5} x+10$

$a=\frac{v d v}{d x}=\left(\frac{x}{5}+10\right)\left(\frac{1}{5}\right)$

$\mathrm{a}=\frac{\mathrm{x}}{25}+2 \Rightarrow$ Straight line till $\mathrm{x}=200$

for $x>200$

$\mathrm{v}=\mathrm{constant}$

$\Rightarrow a=0$

Hence most approriate option will be (1), otherwise it would be BONUS.

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