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

$A$ particle of mass $m$ is constrained to move on the $x$-axis. $A$ force $F$ acts on the particle. $F$ always points toward the position labeled $E$. For example,when the particle is to the left of $E$,$F$ points to the right. The magnitude of $F$ is constant except at point $E$ where it is zero. The system is horizontal. $F$ is the net force acting on the particle. The particle is displaced a distance $A$ towards the left from the equilibrium position $E$ and released from rest at $t=0$. The velocity-time graph of the particle is:

Which one of the following graphs for a body moving along a straight line is possible?

What do the slope and the area under the $v-t$ graph represent?

The acceleration versus velocity graph of a particle moving in a straight line,starting from rest,is as shown in the figure. The corresponding velocity-time graph would be:

For a body moving along a straight line, the following $v-t$ graph is obtained. According to the graph, the displacement during