Relation between velocity and displacement is $v = x^2$. Find acceleration at $x = 3m$ :- ............. $\mathrm{m/s}^{2}$
$6$
$27$
$54$
$0$
Velocity-time $(v-t)$ graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is........$m$
The velocity-time and acceleration-time graphs of a particle are given as Its position-time graph may be gvien as
A body $A$ starts from rest with an acceleration ${a_1}$. After $2$ seconds, another body $B$ starts from rest with an acceleration ${a_2}$. If they travel equal distances in the $5$th second, after the start of $A$, then the ratio ${a_1}:{a_2}$ is equal to
If a train travelling at $72\,\, kmph$ is to be brought to rest in a distance of $200$ metres, then its retardation should be............$m{s^{ - 2}}$
Velocity-displacement graph of a particle moving in a straight line is as shown in figure