A particle is projected vertically upwards with a speed of \( 16 \mathrm{~m} \mathrm{~s}^{-1} \)...

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A particle is projected vertically upwards with a speed of \( 16 \mathrm{~m} \mathrm{~s}^{-1} \). After some time, when it again passes through the point of projection, its speed is found to be \( 8 \mathrm{~m} \mathrm{~s}^{-1} \). It is known that the work done by air resistance is same during upward and downward motion. Then the maximum height attained by the particle is (take \( g=10 \mathrm{~m} \mathrm{~s}^{-2} \) )
(1) \( 8 \mathrm{~m} \)
(2) \( 4.8 \mathrm{~m} \)
(3) \( 17.6 \mathrm{~m} \)
(4) \( 12.8 \mathrm{~m} \)
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