A particle starts from origin at \( t=0 \) with a velocity \( 5.0 \hat{\mathbf{i}} \mathrm{ms}^{...

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A particle starts from origin at \( t=0 \) with a velocity \( 5.0 \hat{\mathbf{i}} \mathrm{ms}^{-1} \) and moves in \( x y \)-plane under action of force which produces a constant acceleration of \( (3.0 \hat{\mathbf{i}}+2.0 \hat{\mathbf{j}}) \mathrm{ms}^{-2} \). What is the \( y \)-coordinate of the particle at the instant, if \( x \)-coordinate is \( 84 \mathrm{~m} \) ?
(a) \( 36 \mathrm{~m} \)
(b) \( 24 \mathrm{~m} \)
(c) \( 39 \mathrm{~m} \)
(d) \( 18 \mathrm{~m} \)
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