A $2 \mathrm{kg}$ toy car can move along $x$axis. Graph shows resultant force $F_{{\mathrm{x}}^{\text{'}}}$ acting on the car which begins at rest at time $t=0$ The velocity of the particle at $t=10\mathrm{s}$ is:

The block $Q$ is pulled on a straight horizontal surface making an angle $\mathrm{\theta }$ with the horizontal. If $a$ is the acceleration of the block, $N$ the contact force by the surface, $T$ the pull of the string along with it and $M$ the mass of the block, then

n-blocks of different masses are placed in contact on a frictionless inclined plane as shown in the figure. They are released at the same time. The force of interaction between ${(n-1)}^{th}$ and $n^{th}$ blocks is

An uniform rope of length $L$ and mass $M$ is placed on a smooth fixed wedge as shown in the figure. Both ends of the rope are at the same horizontal level. If the rope is initially released from rest, then the magnitude and the initial acceleration of the rope is

One end of the massless rope which passes over a massless and frictionless pulley $P$ is tied to a hook $C$ while the other end is free. The maximum tension that the rope can bear is $360 \mathrm{N}$. With what value of minimum safe acceleration $\left(\mathrm{in} \mathrm{m} {\mathrm{s}}^{-2}\right)$ can a man of $60 \mathrm{kg}$ climb down the rope? (Assume acceleration due to gravity $g=10 \mathrm{m} {\mathrm{s}}^{-2}$.)