An aeroplane moving horizontally with a speed of $180 \mathrm{km} {\mathrm{h}}^{-1}$ drops a food packet while flying at a height of $490 \mathrm{m}$. The horizontal range of the packet is:

A particle is projected horizontally with a speed of $\frac{20}{\sqrt{3}}{\mathrm{ms}}^{-1}$, from some height at $t=0$. At what time will its velocity make $60°$ angle with the initial velocity

A particle is projected horizontally with a speed of $\frac{20}{\sqrt{3}}{\mathrm{ms}}^{-1}$, from some height at $\mathrm{t}=0$.

what will be the displacement of the particle in $x$-direction when its velocity makes $60°$ angle with the initial velocity

A boy wants to jump from building $A$ to building $B$. Height of building $A$ is $25 \mathrm{m}$ and that of building $B$ is $5\mathrm{m}$. Distance between buildings is $4\mathrm{m}$. Assume that the boy jumps horizontally, then calculate minimum velocity with which he has to jump to land safely on building $\mathrm{B}$.