In the figure shown, blocks $A$ and $B$ move with velocities $v_1$ and $v_2$ along horizontal direction. The ratio: of $\frac{v_1}{v_2}$

Two masses of $5 \mathrm{kg}$ and $10 \mathrm{kg}$ are connected to a pulley as shown. What will be the acceleration if the pulley is set free? [$g=$ acceleration due to gravity]

Two bodies of $5 \mathrm{kg}$ and $4 \mathrm{kg}$ are tied to a string as shown in the fig. If the table and pulley both are smooth, acceleration of $5 \mathrm{kg}$ body will be equal to-