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 :
(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 $x>200$
$\mathrm{v}=\mathrm{constant}$
$\Rightarrow a=0$
