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 $g=9.8\,ms ^{-2}$ )

In the climax of a movie, the hero jumps from a helicopter and the villain chasing the hero also jumps at the same time from the same level. After sometime when they were at same horizontal level, the villain fires bullet horizontally towards the hero. Both were falling with constant acceleration $2\ m/s^2$ , because of parachute. Assuming the hero to be within the range of bullet, and air resistace force on bullet is negligible. Which of the following is correct

A gun is aimed at a target in a line of its barrel. The target is released and allowed to fall under gravity at the same instant the gun is fired. The bullet will

An aeroplane moving horizontally with a speed of $180\, km/hr$. drops a food packet while flying at a height of $490\,m$. The horizontal range is........$m$

An aeroplane flying $490 \,m$ above ground level at $100\, m/s$, releases a block. How far on ground will it strike ......... $km$

A ball rolls off the top of a stairway with horizontal velocity $\mathrm{u}$. The steps are $0.1 \mathrm{~m}$ high and $0.1 \mathrm{~m}$ wide. The minimum velocity $\mathrm{u}$ with which that ball just hits the step $5$ of the stairway will be $\sqrt{\mathrm{x}} \mathrm{ms}^{-1}$ where $\mathrm{x}=$___________ [use $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ ].