An object at rest at the origin begins to move in the $+x$-direction with a uniform acceleration of $1 \, m/s^2$ for $4 \, s$ and then it continues moving with a uniform velocity of $4 \, m/s$ in the same direction. The $x-t$ graph for the object's motion will be:

The velocity-time graph for a particle moving along the $x$-axis is shown in the figure. The corresponding displacement-time graph is correctly shown by

$A$ bullet is shot vertically downwards with an initial velocity of $100\,m/s$ from a certain height. Within $10\,s$,the bullet reaches the ground and instantaneously comes to rest due to a perfectly inelastic collision. The velocity-time curve for the total time $t = 20\,s$ will be: (Take $g = 10\,m/s^2$)

The position $x$ of a particle varies with time $t$ as $x = ct^2 + b$,where $c$ and $b$ are positive constants. Which of the following graphs is correct?

The velocity-time graph of a body falling from rest under gravity and rebounding from a solid surface is represented by which of the following graphs?

From the following displacement-time graph,find the velocity of a moving body.