What is vertical motion? List some examples of vertical motion.

A person standing on the roof of a $40\mathrm{ }\mathrm{m}$ high tower, throws a ball vertically upwards with speed $10\mathrm{ }\mathrm{m} {\mathrm{s}}^{-1}$. Two seconds later, he throws another ball again in vertical direction (use $g=10\mathrm{ }\mathrm{m} {\mathrm{s}}^{-2}$). Both the balls hit the ground simultaneously.

A particle is moving on the $x-$ axis. If initial velocity $u>0$, and acceleration $a<0$, and $a$ is constant, then the number of possible values of the time for which the particle is at distance $d$ from its starting point may be

A rocket fired vertically upwards with constant acceleration has its fuel exhausted in $10 \mathrm{s}$. What is the maximum height reached by the rocket if its velocity at the end of ${10}^{th}$ second is $600 \mathrm{m}/\mathrm{s}$

Assume $g=10 \mathrm{m}/{\mathrm{s}}^2$.