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.

Slope of velocity – time graph is acceleration. Similarly, $\text{V}\frac{\text{dv}}{\text{dx}}\text{=\hspace{0.17em}a}$

The function of velocity in terms of position is given by $v=\frac{x}{5}+10$, where 0<$x$<200.

So, acceleration is given by $a=\frac{v}{5}=\frac{x}{25}+2$, where 0<$x$<200.

and acceleration is  $a=v\frac{dv}{dx}=0$ (slope is zero), for 200<$x$<400.

So the a-x graph will be linear, hence the most appropriate graph will be