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If the displacement of an object is proportional to square of time, then the object moves with
$(a)$. uniform velocity
$(b)$. uniform acceleration
$(c)$. increasing acceleration
$(d)$. decreasing acceleration
As we know the second equation of motion, $s=ut+\frac{1}{2}at^2$
Here, $s\rightarrow$ displacement
$u\rightarrow$ initial velocity
$a\rightarrow$ acceleration
$t\rightarrow$ time
If the displacement of an object is proportional to the square of time, then the object moves with uniform accelerated motion.
Therefore, option $(b)$ is correct.
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