A particle located at $x= 0$ at time $ t= 0 $, starts moving along with the positive $x-$direction with a velocity $v$ that varies as $v$ $=$ $\alpha \sqrt x $. The displacement of the particle varies with time as

 The figure shows a velocity-time graph of a particle moving along a straight line. The particle comes to rest at $t=$ ……. $\sec$

The position of a particle related to time is given by $x =\left(5 t ^2-4 t +5\right) m$. The magnitude of velocity of the particle at $t=2\,s$ will be $………..ms^{-1}$

If the velocity of a particle is $v =At+ Bt^2$ ,where $A$ and $B$ are constants, then the distance travelled by it between $1\, s$ and $2\, s$ is

The $x – t$ graph shown in figure represents