The horizontal range $\left(R\right)$ of a projectile becomes $\left(R+2H\right)$ from $R$ due to wind in the horizontal direction. Here, $H$ is the maximum height reached by the projectile. What constant horizontal acceleration is imparted by the wind.

A rubber ball escapes from the horizontal roof with a velocity $v=5 \mathrm{m}{ \mathrm{s}}^{-1}.$ The roof is situated at a height, $h=20 \mathrm{m}$. If the length of each car is equal to $x_0=4 \mathrm{m}$, which car will the ball hit?

(a) With what velocity $\left(v_0\right)$ should a ball be projected horizontally from the top of a tower so that the horizontal distance on the ground is $\eta H$, where $H$ is the height of the tower?

(b) Also determine the speed of the ball when it reaches the ground.

A relief food package is dropped from a airplane which is moving horizontal with a velocity of $30 \mathrm{m}{ \mathrm{s}}^{-1}$ at a height $h=$$50 \mathrm{m}$. Find the (a) time of flight of the package, (b) location of the point of striking of the food package, (c) velocity of the package at the time of striking the ground and (d) displacement of the food package.