A particle of mass $\mathrm{m}$ moves on the $x$-axis as follows : it starts from rest at $t=0$ from the point $x=0$ and comes to rest at $t=1$ at the point $x=1$. No other information is available about its motion at intermediate times $\left(0<t<1\right)$. If $\alpha$ denotes the instantaneous acceleration of the particle, then :
 

The Fig. shows the displacement-time graph for a particle. Find the time duration $\left(0-ts\right)$for which the average velocity of the particle is zero.

The velocity-displacement graph of a particle moving along a straight line is shown in Fig. Which one of the following acceleration-distance graphs corresponds to the velocity-distance graph?

A particle starts from rest. Its acceleration $\left(a\right)$ versus time $\left(t\right)$ graph is shown in the Figure  . The maximum speed attained by the particle is