A particle starts from origin at \( t=0 \) with a velocity \( 5 \hat{i} \mathrm{~m} \mathrm{~s}^...

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A particle starts from origin at \( t=0 \) with a velocity \( 5 \hat{i} \mathrm{~m} \mathrm{~s}^{-1} \) and moves in \( x-y \) plane under the action of a force which produces a constant acceleration of \( 3 \hat{i}+2 \hat{j} \mathrm{~m} \mathrm{~s}^{-2} \). The \( y \)-coordinate of the particle at the instant when its \( x \)-coordinate is \( 84 \mathrm{~m} \) is
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