At \( t=0 \) a particle leaves the origin with a velocity of \( 6 \mathrm{~m} / \mathrm{s} \) in...

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At \( t=0 \) a particle leaves the origin with a velocity of \( 6 \mathrm{~m} / \mathrm{s} \) in the positive \( y \) direction. Its acceleration is given by \( \vec{a}=2 \hat{i}-3 \hat{j} \mathrm{~m} / \mathrm{s}^{2} \). The \( x \) and \( y \) coordinates of the particle at the instant the particle reaches maximum \( y \) coordinate are
- (a) \( 2 \mathrm{~m}, 3 \mathrm{~m} \)
- (b) \( 4 \mathrm{~m}, 6 \mathrm{~m} \)
(c) \( 1 \mathrm{~m}, 3 \mathrm{~m} \)
(d) \( 2 \mathrm{~m}, 6 \mathrm{~m} \)
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