$A$ boy pushes a box of mass $2 \, kg$ with a force $\overrightarrow{F} = (20 \hat{i} + 10 \hat{j}) \, N$ on a frictionless surface. If the box was initially at rest,then the displacement along the $x$-axis after $10 \, s$ is ........... $m$.

$A$ player caught a cricket ball of mass $150 \ g$ moving at a rate of $20 \ m/s$. If the catching process is completed in $0.1 \ s$,the force of the blow exerted by the ball on the hand of the player is equal to .......... $N$.

The velocity of an object of mass $2 \ kg$ is given by $v = (8t \hat{i} + 3t^2 \hat{j}) \ m/s$, where $t$ is time in seconds. What will be the direction of the net force on the object relative to the positive direction of the $X$-axis, at the instant when its magnitude is $20 \ N$?

Newton's second law gives the measure of

$A$ bullet of mass $20 \,g$ moving with $500 \,ms^{-1}$ is pierced $1 \,cm$ into a wooden block. The retarding force experienced by the bullet is:

$A$ force on an object of mass $100\, g$ is $(10 \hat{i}+5 \hat{j})\ N$. The position of that object at $t= 2\ s$ is $(a \hat{i}+b \hat{j})\, m$ after starting from rest. The value of $\frac{a}{b}$ will be..........