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

The correct option is A

We know that, $a=\frac{dv}{dt}=v\frac{dv}{dx}$
As slope $\frac{dv}{dx}$ is constant (from the given graph),
so $a\propto v$ (for $x=0$ to $200\text{m}$)
& also, slope $\frac{dv}{dx}=0$, so $a=0$ (from $x=200$ to $400\text{m}$)
Hence, the correct plot is


Hence option (a) is correct.