The acceleration-time graph of a body is shown below. The most probable velocity-time graph of the body is:

For an object moving on a straight line,draw $x-t$ graphs for:
$(i)$ When it is at rest.
$(ii)$ When it is moving with constant velocity in the positive direction.
$(iii)$ When it is moving with constant velocity in the negative direction.
$(iv)$ When it performs non-uniform motion.

$A$ body starts from rest and travels a distance $S$ with uniform acceleration,then moves uniformly a distance $2S$ and finally comes to rest after moving further $3S$ under uniform retardation. The ratio of the average velocity to maximum velocity is

Suggest a suitable physical situation for the following $x-t$ graph.

The velocity-displacement graph describing the motion of a bicycle is shown in the figure. The acceleration-displacement graph of the bicycle's motion is best described by:

$A$ 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 a constant $F_0$ 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: