At the height $80 \,m$, an aeroplane is moving with $150\, m/s$. A bomb is dropped from it so as to hit a target. At what distance from the target should the bomb be dropped ......... $m$.

Two paper screens $A$ and $B$ are separated by a distance of $100\,m$. A bullet pierces $A$ and then $B$. The hole in $B$ is $10\,cm$ below the hole in $A$. If the bullet is travelling horizontally at the time of hitting $A$, then the velocity of the bullet at $A$ is $.......\,m / s$

Two balls of mass $M$ and $2 \,M$ are thrown horizontally with the same initial velocity $v_{0}$ from top of a tall tower and experience a drag force of $-k v(k > 0)$, where $v$ is the instantaneous velocity. then,

Water is flowing from a horizontal pipe fixed at a height of $2\,m$ from the ground. If it falls at a horizontal distance of $3\,m$ as shown in figure, the speed of water when it leaves the pipe is $............\,ms^{-1}$ (take $g=9.8\,ms ^{-2}$ )

A particle is projected from a tower of height $40\ m$ in horizontal direction. Due to wind a constant acceleration is provided to the particle opposite to its initial velocity. If particle hits the ground (at the bottom of the tower) at an angle $37^o$ with horizontal, then find acceleration provided by wind to the particle 

A man projects a coin upwards from the gate of a uniformly moving train. The path of coin for the man will be