Two constant horizontal forces $F_1$ and $F_2$ are acting on blocks A and B. At an instant acceleration of block B is 4 $m/s^2$ in direction of $F_1$ and acceleration of block A with respect to block B at this moment is :

All the surfaces are smooth.

Q. Five forces ${\overrightarrow{F}}_1$, ${\overrightarrow{F}}_2$, ${\overrightarrow{F}}_3$, ${\overrightarrow{F}}_4$ and ${\overrightarrow{F}}_5$ are acting on a particle of mass $2.0kg$ so that it is moving with $4m/s^2$ in east direction. If $\overrightarrow{F_1}$ force is removed, then the acceleration becomes $7m/s^2$ in north, then the acceleration of the block if only $\overrightarrow{F_1}$ is acting will be:

Q. If acceleration of block $A$ is $2{\text{m/s}}^2$ to left and acceleration of block $B$ is $1{\text{m/s}}^2$ to left, then what will be the acceleration of block $C$? Assume that the surface and pulleys are smooth and string is inextensible.

Q. The acceleration (in $m/s^2$) of movable pulley P is and block B is , if acceleration of block $A=1{\text{m/s}}^2$ downwards.

Q. In the figure shown below, acceleration of block $A$ is $1{\text{m/s}}^2$ upwards, acceleration of block $B$ is $7{\text{m/s}}^2$ upwards and acceleration of block $C$ is $2{\text{m/s}}^2$ upwards. Then what will be the acceleration of block $D$? Assume that the pulleys are frictionless and strings are inextensible.

Q. Find the acceleration ( in ${\text{m/s}}^2$) of $2\text{kg}$ block in the figures $\left(A\right)$ and $\left(B\right)$ shown at the instant when $1\text{kg}$ block falls from $2\text{kg}$ block (at $t=0$). (Systems are in equilibrium at $t=0$)
(Take $g=10m/s^2$)