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

  1. (2

    )


Correct Option: 1

Solution:

(1)

For $0 \leq x \leq 200$

$\mathrm{v}=\mathrm{m} \mathrm{x}+\mathrm{C}$

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

$\mathrm{a}=\frac{\mathrm{vdv}}{\mathrm{dx}}=\left(\frac{\mathrm{x}}{5}+10\right)\left(\frac{1}{5}\right)$

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

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

for $x>200$

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

$\Rightarrow a=0$

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