The figure shows the displacement of a particle moving along the $X-$axis as a function of time. The force acting on the particle is zero in the region:

Which of the following position-time $(s-t)$ graphs represents uniform acceleration?

The velocity-time graph for two bodies $A$ and $B$ is shown. Then the acceleration of $A$ and $B$ are in the ratio:

Which of the following displacement $(X)$ time graphs is not possible?

The velocity-displacement graph of a particle is shown in the figure. The acceleration-displacement graph of the same particle is represented by:

$A$ woman starts from her home at $9.00\; am$, walks with a speed of $5\; km\; h^{-1}$ on a straight road up to her office $2.5\; km$ away, stays at the office up to $5.00\; pm$, and returns home by an auto with a speed of $25\; km\; h^{-1}$. Choose suitable scales and plot the $x-t$ graph of her motion.