Q105
Projectiles
Maximum Range or Maximum Height from Given Constraints
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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) $5.00 \mathrm{~m}$.