The velocity-displacement $(v-s)$ graph shows the motion of a particle moving in a straight line. The velocity-displacement graph is a circle of radius $2 \ m$ and the center is at $(2, 0) \ m$. The value of acceleration for this particle at a point $(2-\sqrt{2}, \sqrt{2}) \ m$ will be $ms^{-2}$.

$A$ 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:

The following figures show velocity $v$ versus time $t$ curves. But only some of these can be realized in a particle. These are:

Write the definition of instantaneous velocity.

The graph shows the variation of velocity of a rocket with time. The maximum height attained by the rocket is ........... $km$ :-

The figure shows $(v_x, t)$ and $(v_y, t)$ diagrams for a body of unit mass $(m = 1 \text{ kg})$. Find the force as a function of time.