Consider a shell that has a muzzle velocity of $45 \mathrm{m} {\mathrm{s}}^{-1}$ fired from the tail gun of an airplane, moving horizontally with a velocity of $215 \mathrm{m} {\mathrm{s}}^{-1}$. The tail gun can be directed at any angle with the vertical, in a plane of motion of the airplane. The shell is fired when the plane is above the point $A$ on the ground. The plane is above the point $B$ on the ground when the shell hits the ground. (Assume for simplicity that the earth is flat)

A football is kicked with a speed of $22 \mathrm{m} {\mathrm{s}}^{-1}$ at an angle of $60°$ to the positive $x$-direction taken along the horizontal. At that instant, an observer moves past the football in a car that moves with a constant speed of $11 \mathrm{m} {\mathrm{s}}^{-1}$ in the positive $x$-direction. Take positive $y$-direction vertically upwards. $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

Three projectiles $A, B$ and $C$ are thrown simultaneously from the same point in the same vertical plane. Their trajectories are shown in the figure. Then which of the following statement(s) is/are correct.

Two balls are thrown from an inclined plane at an angle of projection $\alpha$ with the plane one up the inclined plane and the other down the incline as shown in the figure. If $R_1$, and $R_2$ be their respective ranges, then

Two particles are projected with speed $4 \mathrm{m} {\mathrm{s}}^{-1}$ and $3 \mathrm{m} {\mathrm{s}}^{-1}$ simultaneously from same point as shown in the figure.
Then:

Two balloons are simultaneously released from two buildings $A$ and $B$. Balloon from $A$ rise with constant velocity $10 \mathrm{m} {\mathrm{s}}^{-1}$. While the other one rises with a constant velocity of $20 \mathrm{m} {\mathrm{s}}^{-1}$. Due to wind, the balloons gather horizontal velocity $V_x=0.5 y$, where $y$ is the height from the point of release. The buildings are at a distance of $250 \mathrm{m}$ and after some time $t$ the balloons collide. Choose the correct option(s).