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 :

• A.
• B.
• C.
• D.

Answer 1

Answer: (A)

For $0\le x\le 200$
$v=mx+C$
$v=\frac{1}{5}x+10$
$a=\frac{vdv}{dx}=\left(\frac{x}{5}+10\right)\left(\frac{1}{5}\right)$
$a=\frac{x}{25}+2\Rightarrow$ Straight line till $x=200$
for $x>200$
$v=$ constant
$\Rightarrow a=0$

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