$A$ wooden block,initially at rest on the ground,is pushed by a force which increases linearly with time $t$. Which of the following curves best describes the acceleration of the block with time?

$A$ body of mass $1 \, kg$ is acted upon by a force $\vec F = 2\sin(3\pi t)\hat i + 3\cos(3\pi t)\hat j$. Find its position at $t = 1 \, s$ if at $t = 0$ it is at rest at the origin.

The figure represents the momentum-time $(p-t)$ curve for a particle moving along an axis under the influence of a force. Identify the regions on the graph where the magnitude of the force is maximum and minimum,respectively.

$A$ force $F = Be^{-Ct}$ acts on a particle of mass $m$,which is at rest at $t = 0$. Its terminal velocity is:

When a force $F$ given by $F=(6 \hat{i}-18 \hat{j}+10 \hat{k}) \text{ N}$ acts on a body,it imparts an acceleration of $8 \text{ m/s}^2$. Find the mass of the body.

$A$ vehicle of $100\, kg$ is moving with a velocity of $5\, m/s$. To stop it in $\frac{1}{10}\, s$,the required force in the opposite direction is ........... $N$.