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JEE Main 2011 (AIEEE) · Time of Flight, Maximum Height & Range

Time of Flight, Maximum Height & Range question from JEE Main 2011 (AIEEE)

Q33JEE Main 2011 · AIEEEMedium

Time of Flight, Maximum Height & Range

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:

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Answer: (a)

Water travels farthest at $45^\circ$ : $R_{max} = \frac{v^2}{g}$ .
Wet region is a circle of radius $R_{max}$ : $A = \pi\left(\frac{v^2}{g}\right)^2$
So the answer is (a) $\pi\frac{v^4}{g^2}$ .

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