A body of mass $8\,kg$ is moved by a force $F = 3x\,N,$ where $x$ is the distance covered. Initial position is $x = 2\,m$ and the final position is $x = 10\,m$. The initial speed is $0.0\,m/s.$ The final speed is  ........... $m/s$

Figure shows the vertical section of frictionless surface. A block of mass $2\, kg$ is released from the position $A$ ; its $KE$ as it reaches the position $C$ is .............. $\mathrm{J}$

A toy car of mass $5 \,kg$ moves up a ramp under the influence of force  $ F$  plotted against displacement $x$. The maximum height attained is given by

A simple pendulum is released from $A$ as shown in figure. If $m$ and $l$ represent the mass of the bob and the length of the pendulum respectively, the gain in kinetic energy at $B$ is

The total work done on a particle is equal to the change in its kinetic energy. This is applicable

A force acts on a $3 \,gm$ particle in such a way that the position of the particle as a function of time is given by $x = 3t - 4{t^2} + {t^3}$, where $x$ is in metres and $t$ is in seconds. The work done during the first $4 \,seconds$ is ..... $mJ$