A body is projected from the ground with a velocity \( \vec{v}=(3 \hat{i}+10 \hat{j}) \mathrm{ms...

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A body is projected from the ground with a velocity \( \vec{v}=(3 \hat{i}+10 \hat{j}) \mathrm{ms}^{-1} \). The maximum height attained and the range of the body respectively are (given \( g=10 \mathrm{~ms}^{-2} \) )
[WB-JEE 2013]
(a) \( 5 \mathrm{~m} \) and \( 6 \mathrm{~m} \)
(b) \( 3 \mathrm{~m} \) and \( 10 \mathrm{~m} \)
(c) \( 6 \mathrm{~m} \) and \( 5 \mathrm{~m} \)
(d) \( 3 \mathrm{~m} \) and \( 5 \mathrm{~m} \)
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