A man walks in rain with a velocity of ( 5 mathrm{kmh}^{-1} ). The rain drops strike at him at an angle of ( 45^{circ} ) with the horizontal. The velocity of the rain if it is falling vertically downward is:
( (A) 5 mathrm{kmh}^{-1} )
(B) ( 4 mathrm{kmh}^{-1} )
(C) ( 3 mathrm{kmh}^{-1} )
(D) ( 1 mathrm{kmh}^{-1} )

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[
begin{array}{l}
S=x cos 45^{circ}
S=frac{x}{sqrt{2}}
x=5 sqrt{2}
end{array}
]
rentical velocity: ( frac{x sin 45}{5 sqrt{2} times frac{1}{8}}=515 mathrm{m} / mathrm{h} )

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