$A$ bomber plane moves horizontally with a speed of $500\, m/s$ and a bomb released from it strikes the ground in $10\, s$. The angle at which it strikes the ground is $(g = 10\, m/s^2)$.

$A$ bullet must be fired from a height of ........ $cm$ to hit a target $100 \,m$ away. The horizontal velocity of the bullet is $500 \,ms^{-1}$. (Take $g = 10 \,ms^{-2}$)

$A$ ball is projected from a point $O$ as shown in the figure. It will strike the ground after ........ $s$ $\left(g=10 \, m/s^2\right)$.

$A$ helicopter flying horizontally with a speed of $360 \ km/h$ at an altitude of $2 \ km$,drops an object at an instant. The object hits the ground at a point $O$,$20 \ s$ after it is dropped. The displacement of $O$ from the position of the helicopter where the object was released is: (use acceleration due to gravity $g = 10 \ m/s^2$ and neglect air resistance)

An aeroplane moving horizontally with a speed of $720 \, km/h$ drops a food packet while flying at a height of $396.9 \, m$. The time taken by the food packet to reach the ground and its horizontal range are (Take $g = 9.8 \, m/s^2$):

$A$ 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.