$A$ small object slides down with initial velocity equal to zero from the top of a smooth hill of height $H$. The other end of the hill is horizontal and is at height $\frac{H}{2}$ as shown in the figure. The horizontal distance covered by the object from the end of the hill to the ground is

An aeroplane moving horizontally at a speed of $200 \; m/s$ and at a height of $8 \; km$ is to drop a bomb on a target. At what horizontal distance from the target should the bomb be released? (Take $g = 9.8 \; m/s^2$)

An aeroplane is flying at a height of $80 \, m$ with a velocity of $150 \, m/s$. $A$ bomb is dropped from it to hit a target. At what distance from the target should the bomb be dropped (in $, m$)?

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

$A$ ball is rolled off the edge of a horizontal table at a speed of $4\, m/s$. It hits the ground after $0.4\, s$. Which statement given below is true?

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 the figure,the speed of water when it leaves the pipe is $............\,ms^{-1}$ (take $g=9.8\,ms^{-2}$).