Figures (a), (b), (c) and (d) show variation of force with time.

The impulse is highest in figure.

The initial mass of a rocket is $1000 \mathrm{kg}$. Calculate at what rate the fuel should be burnt so that the rocket is given an acceleration of, $20{ \mathrm{m} \mathrm{s}}^{-2}$. The gases come out at a relative speed of $500{ \mathrm{m} \mathrm{s}}^{-1}$, with respect to the rocket:

$\left[\text{Use} g=10 \mathrm{m} {\mathrm{s}}^{-2}\right]$

The coefficient of static friction between two blocks is $0.5$ and the table is smooth. The maximum horizontal force that can be applied to move the blocks together is _______$\mathrm{N}$ (take $\left.g=10{ \mathrm{m} \mathrm{s}}^{-2}\right)$

The boxes of masses $2 \mathrm{kg}$ and $8 \mathrm{kg}$ are connected by a massless string passing over smooth pulleys. Calculate the time taken by box of mass $8 \mathrm{kg}$ to strike the ground starting from rest.  $\left(\mathrm{g}=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$ 

A block of mass $m$ slides on the wooden wedge, which in turn slides backward on the horizontal surface. The acceleration of the block with respect to the wedge is:
Given $m=8 \mathrm{kg}, M=16 \mathrm{kg}$
Assume all the surfaces shown in the figure to be frictionless.

An object of mass $m$ is being moved with a constant velocity under the action of an applied force of $2 \mathrm{N}$ along a frictionless surface with following surface profile.

The correct applied force vs distance graph will be :