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

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

Which one of the following represents displacement time graph of two objects $A$ and $B$ moving with zero relative velocity ?

A particle moves along $X-$axis in such a way that its coordinate $X$ varies with time $t$ according to the equation $x = (2 – 5t + 6{t^2})\,m$. The initial velocity of the particle is…….$m/s$