On a day of intense heat, two friends are playing with water from a hose. One of them wants to know how high the water jet reaches from the water outlet when the hose is positioned completely in the vertical direction. The other friend then proposes the following experiment: they position the hose water outlet in the horizontal direction, 1 m in height relative to the ground, and then measure the horizontal distance between the hose and the location where the water hits the ground. The measurement of this distance was 3 m, and from this they calculated the vertical reach of the water jet. Consider the acceleration due to gravity of $10 \mathrm{~m~s}^{-2}$.
The result they obtained was
(A) $1.50 \mathrm{~m}$.
(B) $2.25 \mathrm{~m}$.
(C) $4.00 \mathrm{~m}$.
(D) $4.50 \mathrm{~m}$.
(E) $5.00 \mathrm{~m}$.

A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is $v$, the total area around the fountain that gets wet is:
(1) $\pi \frac{v^{4}}{g^{2}}$
(2) $\frac{\pi}{2}\frac{v^{4}}{g^{2}}$
(3) $\pi \frac{v^{2}}{g^{2}}$
(4) $\pi \frac{v^{4}}{g}$

A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same stone up to will be
(1) $20\sqrt{2}$ m
(2) 10 m
(3) $10\sqrt{2}$ m
(4) 20 m

A person can throw a ball upto a maximum range of 100 m. How high above the ground he can throw the same ball?
(1) 25 m
(2) 50 m
(3) 100 m
(4) 200 m