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(C) For statement $A$:Kinetic energy $KE = \frac{1}{2} m v^2$. Since the body starts from rest and is acted upon by a constant force $F$,its accelerat

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$A$ is correct and $B$ is wrong

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(C) For statement $A$:Kinetic energy $KE = \frac{1}{2} m v^2$. Since the body starts from rest and is acted upon by a constant force $F$,its acceleration $a = F/m$ is constant.Thus,$v = at$,and $KE = \frac{1}{2} m (at)^2 = \frac{1}{2} m a^2 t^2$.The rate of change of kinetic energy is $\frac{d(KE)}{dt} = \frac{d}{dt} (\frac{1}{2} m a^2 t^2) = m a^2 t$.Since $\frac{d(KE)}{dt} \propto t$,the rate of change of kinetic energy varies linearly with time. Thus,statement $A$ is correct.For statement $B$:$A$ body at rest is in equilibrium only if the net force acting on it is zero. $A$ body can be momentarily at rest (e.g.,a ball thrown vertically upward at its highest point) while still being acted upon by a non-zero net force (gravity). Therefore,it is not necessarily in equilibrium. Thus,statement $B$ is wrong.

Column $I$	Column $II$
$(A)$ The force exerted by $X$ on $Y$ has a magnitude $Mg$.	$(p)$ Block $Y$ of mass $M$ on a fixed inclined plane $X$,slides on it with a constant velocity.
$(B)$ The gravitational potential energy of $X$ is continuously increasing.	$(q)$ Two ring magnets $Y$ and $Z$,each of mass $M$,are kept in a frictionless vertical plastic stand. $Y$ rests on base $X$ and $Z$ hangs in equilibrium. The system is in a lift moving up with constant velocity.
$(C)$ Mechanical energy of the system $X+Y$ is continuously decreasing.	$(r)$ $A$ pulley $Y$ of mass $m_0$ is fixed to a table $X$. $A$ block of mass $M$ hangs from a string over the pulley,fixed at $P$. The system is in a lift moving down with constant velocity.
$(D)$ The torque of the weight of $Y$ about point $P$ is zero.	$(s)$ $A$ sphere $Y$ of mass $M$ is released in a non-viscous liquid $X$ and moves down.
	$(t)$ $A$ sphere $Y$ of mass $M$ is falling with terminal velocity in a viscous liquid $X$.

Consider the following statements $A$ and $B$ and identify the correct answer given below:
$(A)$ $A$ body initially at rest is acted upon by a constant force. The rate of change of its kinetic energy varies linearly with time.
$(B)$ When a body is at rest,it must be in equilibrium.

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Consider the following statements $A$ and $B$ and identify the correct answer given below:$(A)$ $A$ body initially at rest is acted upon by a constant force. The rate of change of its kinetic energy varies linearly with time.$(B)$ When a body is at rest,it must be in equilibrium.